Department of Mathematics
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About Us | Departmental Profile | Faculty | Projects Completed | Ph.D. Awarded Since 1990 | Research

About us
Department of Mathematics was established in the year 1963 under the headship of Dr B.S. Fadnis. The post graduate students in Mathematics are encouraged to carry out research work leading to the award of Ph.D. of Rashtrasant Tukdoji Maharaj, Nagpur University. The department has presently nine sanctioned teaching staff comprising of two Professors, three Readers and Four Lecturers. However, due to the superannuation of some faculty members, the present strength is reduced to seven. Research projects have been awarded to the faculty carrying out research work in various fields in Mathematics. Since, then the department has been active updating the curriculum and encouraging research. Various fields of Mathematics in which research is being carried out which includes Relativity, Cosmology, Fluid Mechanics, Thermo elasticity, Operational research, Magneto-hydrodynamics, Topology, Algebra. Recently the department also conducted M. Phil. Course. Faculty of the department actively involved in various academic activities nationally and internationally.
 

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Departmental Profile

Courses offered Intake capacity
M.Sc. Mathematics (Four Semesters)
Ph.D. by Research
60 per semester
8 per teacher

 

Semester pattern scheme of examination for M.Sc. in Mathematics

Semester Papers University Exam
Marks -Credits
Internal Assessment
Marks - Credits
Total
Marks - Credits
Grand Total
Marks - Credits
1 4 Compulsory
1 Elective 5X100
5X100 - 5X4 5X25 - 5X1 625 - 25  
2 4 Compulsory
1 Elective
5X100 - 5X4 5X25 - 5X1 625 - 25  
3 2 Compulsory
3 Elective
5X100 - 5X4 5X25 - 5X1 625 - 25  
4 2 Compulsory
3 Elective
5X100 - 5X4 5X25 - 5X1 625 - 25  

Periods Allotted per week per paper : 05 Hrs.

 

M. Sc. Semester-I

Compulsory Papers
Paper I :-    Algebra-I
Paper II :-   Real Analysis-I
Paper III :- Topology-I
Paper IV :-  Linear Algebra and differential equations

Optional Papers (Any One)
Paper V  :-    Numerical Analysis
Paper VI :-    Integral Equations
Paper VII :-   Fuzzy Mathematics-I

M. Sc. Semester-II

Compulsory Papers
Paper I :-    Algebra-II
Paper II :-   Real Analysis-II
Paper III :- Topology-II
Paper IV :-  Differential geometry

Optional Papers (Any One)
Paper V :-   Classical Mechanics
Paper VI :-  Mathematical Methods
Paper VII :- Fuzzy Mathematics II

M. Sc. Semester-III
Compulsory Papers

Paper I :- Complex Analysis
Paper II :- Functional Analysis

Optional :- Papers (Any Three)
Paper III :- Fluid Dynamics-I
Paper IV :- General Relativity
Paper V :- Operations Research-I
Paper VI :- Algebraic Topology-I
Paper VII :- Operator Theory
Paper VIII :- Nonlinear programming
Paper IX :- MATLAB Programming

M. Sc. Semester-IV
Compulsory Papers

Paper-I :- Dynamical Systems
Paper-II :- Partial Differential Equations

Optional Papers (Any Three)
Paper III :- Fluid Mechanics-II
Paper-IV :- Cosmology
Paper V :- Operations Research-II
Paper VI :- Advanced Algebra
Paper VII :- Algebraic Topology
Paper VIII :- Banach Algebras
Paper – IX :- Computational Fluid Dynamics
 

Admission Procedure (Eligibility, General Procedure)
To take an admission for M.Sc. semester I course the candidate must have passed B.Sc. examination with Mathematics as one of the subjects. Candidates are admitted on merit basis i.e. aggregate in B.Sc. exam and class wise (B.Sc. I, II, III) marks obtained in Mathematics.

 

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HEAD OF THE DEPARTMENT

Dr. K.C. Deshmukh
Professor
Dean, Faculty of Science (RTMNU)
Management councilor (RTMNU)
Contact: (Ph.) 0712-2500575 (m) 09665062708
Email: kcdeshmukh2000@rediffmail.com

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Teaching Faculty

 

Dr. K.C. Deshmukh

Research Guidance

Professor & Head

Ph.D. Awarded          

16

Research Interests: Thermoelasticity

Pursuing Ph.D.                       

08

Contact: 09665062708

M. Phil. dissertation      

06

Email: kcdeshmukh2000@rediffmail.com

Research Publications      

103

 

Dr. R.V. Saraykar

Research Guidance

Professor

Ph.D. Awarded

04

Research Interests: General Theory of Relativity and Cosmology

Pursuing Ph.D.      

04

Contact: 9923111526

M. Phil. dissertation

20

Email: ravindra.saraykar@gmail.com

Research Publications

37

 

Dr. G.S. Khadekar

Research Guidance

Professor

Ph.D. Awarded

12

Research Interests: General Theory of Relativity and Cosmology

Pursuing Ph.D.

08

Contact: 9011323123

M. Phil. dissertation

06

Email: gkkhadekar@yahoo.com, gkhadekar@rediffmail.com

Research Publications

70

 

Dr. N.W. Khobragade

Research Guidance

Professor

Ph.D. Awarded

14

Research Interests: Thermoelasticity and Operational Research

Pursuing Ph.D.

04

Contact: 9730776567

M. Phil. dissertation

17

Email: khobragadenw@gmail.com

Research Publications

184

 

Dr. M.S. Borkar

Research Guidance

Associate Professor

Ph.D. Awarded

02

Research Interests: Relativity, Operational Research

Pursuing Ph.D.

07

Contact: 7798155871

M. Phil. dissertation

04

Email: borkar.mukund@rediffmail.com

Research Publications

30

 

Dr. S.H. Ghate

Research Guidance

Associate Professor

Ph.D. Awarded

02

Research Interests: Algebra, Relativity, Economics and Fluid Mechanics

Pursuing Ph.D.

02

Contact: 0712-2570690, 8806664849

M. Phil. dissertation

----

Email:

Research Publications

10

 

Dr. (Mrs.) S.A. Meshram

Research Guidance

Associate Professor

Ph.D. Awarded

01

Research Interests: Thermoelasticity , Solid Mechanics and Cryptography

Pursuing Ph.D.   

06

Contact: 8390641675

M. Phil. dissertation

----

Email: amruta1010@gmail.com

Research Publications

24

 

Dr. G.D. Kedar

Research Guidance

Associate Professor

Ph.D. Awarded

00

Research Interests: Thermoelasticity, Operational Research

Pursuing Ph.D.

02

Contact: 09422835129

M. Phil. dissertation

00

Email: gdkedar@rediffmail.co.in, gdkedar2013@gmail.com

Research Publications

15

 

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Projects Completed

Name of Prin. Inv.

Title of the project

Duration

Funding Agency

Amount (Rs.)

Dr. K. C. Deshmukh

Some Aspects of Thermoelastic Problems

01.07.2003 to  30.06.2006

U.G.C.

4,50,000.00

Dr. G. S. Khadekar

Wesson Theory of Gravitation

2004

U.G.C.

30,000.00

Dr. G. S. Khadekar

Structure Consideration of Top Space

2003-2004

M.M.R.C. Kerman, Iran

30,000.00

Dr. N. W. Khobragade

Study of direct and inverse thermoelastic problems

01.04.2007 to 31.03.2010

U.G.C.

5,62,100.00

Dr. K. C. Deshmukh

Critical study of some Thermoelastic problems

01.04.2007 to  31.03.2010

U.G.C.

4,31,600.00

Dr. M. S. Borkar

Study of some cosmological  Models

01.04.2007 to 31.03.2009

U.G.C.

1,00,000.00

Dr .Mrs. S. A. Meshram

Study of heat conduction Problem in some solids and                                        

01.04.2007 to 31.03.2009

U.G.C.

1,00,000.00

Total (Rs.)

11,93,700.00

 

Projects Ongoing

Name of Teacher

Title of the project

Duration

Funding Agency

Amount (Rs.)

Dr. N. W. Khobragade

Critical study of thermoelastic problems on different solids

01.06.2011 to 31.05.2014

U.G.C.

7,51,800.00

Dr. K. C. Deshmukh

Study of some direct and indirect heat conduction problems in solids and their thermal behavior

01.06.2011 to 31.05.2014

U.G.C.

5,28,000.00

Dr. M. S. Borkar

The Study of cosmological modelsin Einetein and in Rosen theory of gravitation

01.06.2011 to 31.05.2014

U.G.C.

8,08,800.00

Total (Rs.)

20,88, 600.00

 

Special Assistance Programme (Rs. 43,50,000)
University Grants Commission , New Delhi has sanctioned the Assistance of Rs. 23.5 Lakhs to the Department of Mathematics, R.T.M. Nagpur University, Nagpur at the level of DRS- I for Five years i.e. 01-04-2011 to 31-03-2016 under the Special Assistance Programme (SAP). Also received Rs. 20 Lakhs under BSR grants for infrastructure, water facility sanitary facility and power supply.

The proposal of the Department of Mathematics was examined by the Expert Committee on 15th Feb, 2011 at UGC office , New Delhi and after a very careful and critical in-depth examination of the academic achievement of the Department, the Expert Committee recommended the Department for consideration by the Commission the support at the level of DRS-I.

This Special Assistance Program is intended through constant efforts to raise the quality of teaching and research in different disciplines of Science in general and Mathematics in particular. The essence and primary aim of the scheme is combination of teaching and research to encourage group research in pursuit of excellence.

Co-ordinator: Dr K.C. Deshmukh                                         Deputy Co-ordinator: Dr R.V. Saraykar
 

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Seminars / Conferences / Workshops organized

  • National Seminar on FUZZY MATHEMATICS during March 5-6, 2010 (Funded by UGC)

  • Workshop on MATHEMATICA during March 28-29, 2010.

  • National Seminar 2011-12 (Funded by UGC under SAP)

  • National Seminar 2012-13 (Under by UGC under SAP)

  • Workshop for M.Sc. students 2011-12 (Funded by RTMNU)

  • Workshop for M.Sc. students 2012-13 (Funded by RTMNU)

 

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Ph.D. Awarded Since 1990

Sr. NO.

Name of Candidate

Name of Supervisor

Subject/Specialization

Year of Ph.D. awarded

1.

Mr. S.D. Mohgaonkar

Dr. R.V. Saraykar

Mathematics (Fluid Dynamics)

1991

2.

Mr. V.G. Bujade

Dr. R.D. Giri

Mathematics (Algebra)

1997

3

Mr. A.K. Modi

Dr. R.D. Giri

Mathematics (Algebra)

1997

4.

Mr. Prabhat Kumar

Dr. P.C. Wankhede

Mathematics (Thermo- elasticity)

1998

5.

Mr. K.C. Deshmukh

Dr. P.C. Wankhede

Mathematics (Thermo- elasticity)

1998

6

Miss S. Tiwari

Dr. R.D. Giri

Mathematics (Algebra)

1998

7

Mr. Bhattacharya

Dr. T.M. Karade

Mathematics (General Relativity)

1999

8.

Mr. K.T. Thomas

Dr. T.M. Karade

Mathematics (General Relativity)

2000

9.

Mr. D. T. Deshmukh

Dr. P.C. Wankhede

Mathematics (Thermo- elasticity)

2001

10

Mr. K. D. Thengane

Dr. T.M. Karade

Mathematics (General Relativity)

2001

11

Mr. P.S. Muktibodh

Dr. R.V. Saraykar

Mathematics (General Relativity)

2001

11.

Mr. M.S. Borkar

Dr. T.M. Karade

Mathematics (General Relativity)

2002

12

Mr. S.G. Ingale

Dr. K.C. Deshmukh

Mathematics (Thermo- elasticity)

2002

13

Mr. K.D. Patil

Dr. S.H. Ghate

Mathematics (General Relativity)

2002

14

Ms. Megha Joshi

Dr. G.S. Khadekar 

Mathematics (General Relativity )

2002

15

Mr. N.W. Khobragade

Dr. P.C. Wankhede

Mathematics (Thermo- elasticity)

2003

16.

Mrs. S.A.Meshram

Dr. K.C. Deshmukh

Mathematics (Thermo- elasticity)

2003

17.

Mr. B.G. Ambatkar

Dr. T.M. Karade

Mathematics (General Relativity)

2003

18.

Mr. A.R. Nagpure

Dr. G.S. Khadekar

Mathematics (General Relativity)

2003

19.

Mr. M.N. Gaikwad

Dr. K.C. Deshmukh

Mathematics (Thermo- elasticity)

2004

20.

Mrs. M.V.Nahatkar

Dr. T.M. Karade

Mathematics ( General Relativity )

2004

21.

Mr. H.R. Virulkar

Dr. T.M. Karade

Mathematics ( General Relativity )

2004

22.

Mr. A.B. Buradkar

Dr. K.C. Deshmukh

Mathematics (Thermo- elasticity)

2004

23.

Mr. S.R. Kadhau

Dr. T.M. Karade

Mathematics ( General Relativity )

2004

24.

Mr. R.W. Warade

Dr. K.C. Deshmukh

Mathematics (Thermo- elasticity)

2004

25

Mr. S. P. Kandalkar

Dr. G.S. Khadekar

Mathematics (General Relativity)

2004

26.

Mr. V.S. Gogulwar

Dr. K.C. Deshmukh 

Mathematics (Thermo- elasticity)

2005

27

Mrs. B.P. Butey

Dr. G.S. Khadekar

Mathematics (General Relativity )

2005

28

Mr. N.L. Khobragade

Dr. K.C. Deshmukh

Mathematics (Thermo- elasticity)

2006

29

Mr. A.K. Tikhe

Dr. K.C. Deshmukh

Mathematics (Thermo- elasticity)

2006

30.

Mr. K.P. Ghadle

Dr. N.W. Khobragade

Mathematics(Thermo- elasticity)

2007

31

Mr. K.W. Khobragade

Dr. N.W. Khobragade

Mathematics (Thermo- elasticity)

2007

32.

Mr. S.B. Sarwe

Dr. R.V. Saraykar 

Mathematics (General Relativity)

2007

33.

Mr. S.D. Tade

Dr. G.S. Khadekar

Mathematics (General Relativity)

2007

34.

Mr. A .G.  Avachar

Dr. G.S. Khadekar 

Mathematics (General Relativity)

2007

35.

Ms. Shilpa  Samdurkar

Dr. G.S. Khadekar

Mathematics (General Relativity)

2007

36.

Mr. V.A. Patki

Dr. G.S. Khadekar

Mathematics (General Relativity)

2007

37.

Mr. A.A. Navlekar

Dr. N.W. Khobragade

Mathematics (Thermo- elasticity)

2008

38.

Mr. S.S. Singru

Dr. N.W. Khobragade

Mathematics (Thermo- elasticity)

2008

39.

Mr. L.H. Khalsa

Dr. N.W. Khobragade

Mathematics (Thermo- elasticity)

2008

40.

Ms. Sujatha Janardhan

Dr. R.V. Saraykar

Mathematics (General Relativity)

2008

41.

Mr. G.L. Waghmare

Dr. K.C. Deshmukh

Mathematics (Integral Transform)

2008

42

Mr. V.S. Kulkarni

Dr. K.C. Deshmukh

Mathematics (Thermoelasticity)

2008

43.

Mr. V. Varghese

Dr. N.W. Khobragade

Mathematics (Thermo- elasticity)

2009

44

Mr. Gopal  Kondawar

Dr. G.S. Khadekar

Mathematics (General Relativity)

2009

45

Ms. Yogita Badwaik

Dr. K.C. Deshmukh

Mathematics (Generalized Fns.)

2009

46

Mr. S.S. Charjan

Dr. M.S. Borkar

Mathematics  (Relativity)

2010

47

Mr. S.D. Warbhe

Dr. K.C. Deshmukh

Mathematics (Thermoelasticity)

2011

48

Mr. A.S. Muktibodh

Dr. S.H. Ghate

Mathematics (Algebra)

2012

49

Mr. D.K. Meshram

Dr. N.W. Khobragade

Mathematics (Thermo- elasticity)

2012

50

 Mr. G.D. Kedar

Dr. K.C. Deshmukh

Mathematics (Thermoelasticity)

2012

51

Ms. Vaishali Kamdi

Dr. G S Khadekar

Physics (General Relativity)

2012

52

Mr. M. H. Durge

Dr. N.W. Khobragade

Mathematics (Thermo- elasticity)

2008

53

Mr. M.S. Warbhe

Dr. N.W. Khobragade

Mathematics (Thermo- elasticity)

2009

54

Ms. W.K. Dange

Dr. N.W. Khobragade

Mathematics (Thermo- elasticity)

2012

55

Ms. Pravina Salve

Dr. S. A. Meshram

Mathematics (Thermo- elasticity)

2012

56

Mr. Y.I. Quazi

Dr. K.C. Deshmukh

Mathematics (Thermo Elasticity)

2012

57

Mr. Vitthal G Miskin

Dr. G.S. Khadekar

Mathematics (General Relativity)

2012

58

Mr. M.R. Gaikwad

Dr. G.S. Khadekar

Mathematics (General Relativity)

2012

59

Mr. N.K. Lamba

Dr. N.W. Khobragade

Mathematics (Thermo Elasticity)

2013

60

Ms. M. H. Hajare

Dr. M.S. Borkar

Mathematics (Relativity)

2013

61

Mrs. M.V. Khandait

Dr. K.C. Deshmukh

Mathematics (Thermo Elasticity)

2013

62

Mr. S.D. Bagde

Dr. N.W. Khobragade

Mathematics (Thermo Elasticity)

2013

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Research Publications of Faculty (Since 2009)
Dr. K.C. Deshmukh
1. V.S. Kulkarni, K.C. Deshmukh (2009) Quasi-static Thermal Stresses in a Thick Circular Plate due toaxisymmetric heat supply, International Journal of Applied Mathematics and Mechanics, 5 (6), pp. 38-50.
2. V.S. Kulkarni, K.C. Deshmukh (2009) Thermal Stresses in A Thick Circular Plate Due To Partial Heating, Bull.Cal.Math.Soc, 101, (3) 205-216.
3. K.C. Deshmukh, V.S. Kulkarni and S.D. Warbhe; “Quasi-static Thermal Deflection of a thin Clamped Circular Plate due to Heat Generation’’ Journal of Thermal Stresses 32: 9, 877-886, (2009).
4. O.K. Chaudhari, P.G.Khot, K.C. Deshmukh (2009) Mathematical model of transportation problem (MMTP) in fuzzy environment (FMMTP), Journal of Indian Acad. Maths. Vol. 31, No.1, Pp 59-64.
5. K.C. Deshmukh, S.D. Warbhe and V.S. Kulkarni (2009) Non –homogeneous Steady –State Heat Conduction Problem in a Thin Circular Plate and its Thermal Stresses, International Journal of Thermophysics, 30, pp. 1688-1696.
6. K.C.Deshmukh, Mrs.M.V.Khandait, S.D.Warbhe, V.S.Kulkarni (2010) Thermal stresses in a simply supported plate with thermal bending moments, International Journal of Applied Mathematics and Mechanics, Vol 6, No. 18, Pp1-12.
7. K.C.Deshmukh, S.D.Warbhe, G.D.Kedar, V.S.Kulkarni (2010), Inverse heat conduction problem in a semi-infinite circular plate and its thermal deflection by quasi-static approach, Applications and Applied Mathematics: An International Journal (AAM), Vol.5, No. 1, pp. 120 -127.
8. O.K. Chaudhari , P.G. Khot , K.C. Deshmukh (2010) Fuzzy modeling in industry for the optimal use of available resources, Advances in Fuzzy Mathematics, Vol.5, No 2, pp. 121-127.
9. K.C.Deshmukh, V.S.Kulkarni and S.D. Warbhe (2010), Quasi-static thermal deflection of a thin clamped hollow circular disk due to heat generation, International Journal of Thermophysics, 31: 2337-2347.
10. K.C.Deshmukh, P.G.Khot and Nikhil (2010) Normalization and Constrained Optimization of Measures of Fuzzy Entropy, International Journal of Engineering and Natural Sciences 4:3, Pp. 140-144.
11. K.C.Deshmukh, V.S.Kulkarni and S.D. Warbhe (2011), Brief note on heat flow with arbitrary heating rates in a hollow cylinder, Journal Thermal Science: International Scientific Journal, Vol. 15, No.1, Pp 277-282, Impact factor 0.440.
12. K.C.Deshmukh, S.D.Warbhe, G.D.Kedar, V.S.Kulkarni (2011), Inverse heat conduction problem in a semi-infinite cylinder and its thermal stresses by quasi-static approach’’, Applications and Applied Mathematics: An International Journal, Texas, USA. AAM Vol 6, Issue 11, Pp 1883-1829.
13. K.C.Deshmukh, Y.I. Quazi, S.D.Warbhe, and V.S.Kulkarni (2011) Thermal stresses induced by a point heat source in a circular plate by quasi-static approach, Journal of Theoretical & Applied Mechanics Letters 1, 031007, published by The Chinese Society of Theoretical and Applied Mechanics ( doi; 1063 /2 , 1103107).
14. K.C. Deshmukh, M.V. Khandait, and V.S. Kulkarni (2011) Journal of Theoretical & Applied Mechanics, Thermal Deflection Due to Temperature Distribution in a Circular Plate Heated by a Moving Heat Source, ISST Journal of Mathematics and Computing System Vol.2 No.1, p.p.1-5.
15. K.C. Deshmukh, P.G. Khot and Nikhil (2011) Weighted generating functions for measures of fuzzy information improvement Indian Journal of Mathematics and Mathematical Sciences Vol. 7, No. 2. pp. 145-152.
16. K.C. Deshmukh, P.G.Khot and Nikhil (2011) Correspondance between maximum entropy principle and queueing theory, Indian Journal of Mathematics and Mathematical Sciences Vol. 7, No. 2, pp. 153-159.
17. K.C.Deshmukh, S.D.Warbhe, G.D.Kedar, V.S.Kulkarni (2012) Thermal stresses in a semi-infinite solid circular cylinder, International Journal of Applied Mathematics and Mechanics, Vol 8 (10) pp. 38-46.
18. K.C.Deshmukh , Y.I. Quazi, S.D.Warbhe (2011) Thermal stresses induced by a point heat source in a hollow disk by quasistatic approach, African Journal of Mathematics and Computer Science Research Vol. 4(10), pp. 334-338, 15 September, Available online at http://www.academicjournals.org/AJMCSRISSN 2006-9731 © 2010 Academic Journals.
19. K.C.Deshmukh, P.G.Khot and Nikhil (2011) New Generalized Measures of Fuzzy Divergence, accepted for publication in Caledonian Journal of Engineering, published from Glasgow Caledonian University, Oman.
20. G.D.Kedar and K.C.Deshmukh (2011) Estimation of temperature distribution and thermal stresses in a thick circular plate, African Journal of Mathematics and Computer Science Research Vol. 4 (13) pp 389-395.
21. O.K.Chaudhari, P.G.Khot, K.C.Deshmukh N.G.Bawne (2012) Anfis based model in decision making to optimize the profit in farm cultivation’’ International Journal of Engineering Science & Technology, Vol.4 No.02.
22. O.K.Chaudhari, P.G.Khot, K.C.Deshmukh and N.G.Bawne (2011) International journal of Applied Mathematics and Applications, 3 (2), pp. 153- 165.
23. K.C. Deshmukh, Y.I. Quazi, and S.D. Warbhe (2011) Non homogeneous steady state heat conduction problem in hollow circular cylinder and its thermal stresses” Proceedings of 56th Congress of ISTAM (An International Meet), pp. 145-154.
24. K.C.Deshmukh, M.V.Khandait, and V.S.Kulkarni (2012) Thermal Deflection Due to Temperature Distribution in a hollow disk Heated by a Moving Heat Source, Far East Journal of Applied Mathematics , Volume 66, Issue 1, pp. 25 – 37.
25. G.D.Kedar and K.C.Deshmukh (2012) A transient heat conduction problem of semi-infinite solid circular cylinder and its thermal deflection by quasi-static approach, International Journal of Physics and Mathematical Sciences, Vol. 2 ( 4) , 2012, pp 11-16.
26. K.C. Deshmukh, M.V. Khandait, G.D. Kedar and Y.I. Quazi (2012) Non-homogeneous steady state heat conduction with thermal stresses in rectangular plate, Proceedings of 57th Congress of ISTAM (An International Meet), pp. 183-188, Dec 17-20.
27. G.D.Kedar and K.C.Deshmukh (2013) Determination of thermal stresses in a thin clamped hollow disk under unsteady temperature field due to point heat source, IOSR Journal of Mathematics, Vol. 4, Issue 6, pp. 14-19.
28. G.D.Kedar and K.C.Deshmukh (2013) Inverse estimation of temperature distribution and thermal stresses in a semi-infinite hollow circular cylinder by quasi-static approach, International Journal of Math. Sci & Engg .Appls , Vol.7 , No.1, pp. 371-381.
29. G.D. Kedar and K.C. Deshmukh (2013) Thermal Deflection in a Semi-infinite Hollow Circular Cylinder Subjected to Ramp-type Heating, Asian Journal of Current Engg and Maths., Vol. 2(1), 27 – 29.
30. G.D. Kedar and K.C. Deshmukh (2013) Estimation of Thermal Stresses due to Arbitrary Initial Heat Supply in a Semi-infinite Solid Circular Cylinder by quasi-static approach, Int. J. of Applied Mathematical Sciences, Vol. 6(1), 29-37.
31. G.D.Kedar and K.C.Deshmukh (2013) Thermal stresses due to ramp-type heating in a semi-infinite hollow circular cylinder, Far East Journal of Applied Mathematics, 76 (1), pp. 01-12.
32. S.P. Pawar, K.C. Deshmukh and G.D. Kedar (2013) Effect of Internal Heat Generation and Temperature Asymmetry in a Hollow Sphere and its Thermal Stresses, Journal of Thermoelasticity Vol.1 No. 3 ISSN 2328-2401 (Print) ISSN 2328-241X (Online) http://www.researchpub.org/journal/jot/jot.html.
33. S.P. Pawar, K.C. Deshmukh, G.D. Kedar (2013) Effect of Heat Generation on Quasi- Static Thermal Stresses in a Solid Sphere, IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728,p-ISSN: 2319-765X, Volume 7, Issue 5, PP 21-29.
34. P.H.Munjankar, K.C.Deshmukh, V.S.Kulkarni (2013) Heat Transfar and Thermal Stress Analysis In Annular Cylinder under Steady State, IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728,p-ISSN: 2319-765X, Volume 7, Issue 6, PP 90-99.
35. S.P. Pawar, K.C. Deshmukh and G.D. Kedar (2013) Thermal stresses in a solid sphere with convective heat transfer, Proceedings of UGC sponsored a National conference on Frontiers of Mathematics, pp. 05-14.
36. I.A. Khan, M.H. Durge and K.C. Deshmukh (2013) Steady state heat conduction problem in a thick circular plate and its thermal stress due to axisymmetric heat supply, Proceedings of UGC sponsored a National conference on Frontiers of Mathematics, pp. 58-67, March 2013.
37. K.C. Deshmukh A.A. Bhave and V.S. Kulkarni (2013) Quasi-static thermal stresses in a solid sphere, Proceedings of UGC sponsored a National conference on Frontiers of Mathematics, pp. 89-96.
38. S.P. Pawar, K.C. Deshmukh A.B. Buradkar and G.D. Kedar (2013) A temperature distribution in a functionally graded hollow sphere with heat generation: A comparative study with Isotropic model, Proceedings of UGC sponsored a National conference on Frontiers of Mathematics, pp. 97-104.
 


Dr. R.V. Saraykar
1. Sujatha Janardhan and R.V.Saraykar, Domain theoretic approach to causal structure on a space-time manifold, Inter. Jour. Mathe. Sci. and Engg. Appl., Vol.4, No.IV, October 2010, 47-58. - Impact Factor – 0.217.
2. Pankaj S. Joshi, Daniele Malafarina and Ravindra V. Saraykar, Genericity aspects in gravitational collapse to black holes and naked singularities, ( arXiv:gr-qc- 1107.3749) Inter. Jour. Mod. Phys. D, Vol. 21, No.8 (August 2012), (38 pages)-DOI: 10.1142/S0218271812500666 – Impact Factor – 1.03.
3. R.V.Saraykar, Space-time singularities – Current status, Jounal of Tensor Society, Nov. 2012, 89-94.
4. R.V.Saraykar and Sujatha Janardhan, Topologies on the space of Lorentz metrics and stability of global properties of a space-time manifold, Journal of Tensor Society, Nov. 2012, 95-106.
5. Sujatha Janardhan and R.V.Saraykar, Causal Cones, Cone Preserving Transformations and Causal Structure in Special and General Theory of Relativity, Gravitation and Cosmology ( Russian ), Vol. 19, Issue 1 (2013), 42-53. Impact Factor – 0.457.
6. Pankaj S. Joshi and Ravindra V. Saraykar, Shell- crossings in Gravitational Collapse, Inter. Jour. Mod. Phys. D, Vol. 22, No.5 (April 2013) DOI: 10.1142/S0218271813500272, 1350027- Impact Factor – 1.03.
7. P.D.Raiter and R.V.Saraykar, A stability theorem for large solutions of three dimensional incompressible magnetohydrodynamic equations, IOSR Jour. Of Mathematics (online), Vol.7 No. 4 (2013), 62-74. - Impact Factor – 1.312.
 


Dr. G.S. Khadekar
1. G.S. Khadekar, Vaishali Kamdi and Cenap Ozel, Higher Dimensional_CDM Universe: A Phenomenological Approach with many possibilities Inte. J. Theo. Phys. (IJTP) Vol.48, 373, (2009).
2. G.S. Khadekar and Rajani Shelote, Higher Dimensional Cosmological Model of the Universe with time dependent Equatiuon of state”, Dynamical System and Geometric Theories, Vol. 7, No. 2. 125-135 (2009).
3. G S Khadekar, Vaishali Kamdi and Vitthal Miskin (2010) Higher Dimensional Cosmological Model of the Universe with Variable Equation of state parameter in the presence of G and _, AIP Conf. Proc. 1309, 578, International Conference on Mathematical Sciences (ICMS 2010), Bolu, Turkey, Edited by C. Ozel and A. Kilicman.
4. G.S. Khadekar, Cenap Ozel and Hunkar Kayhan Kaluza-Klein Type Cosmological Model with Strange Quark Matter Adv. Studies Theor. Phys., Vol. 4, no. 3, 117 - 128, (2010).
5. A Book G S Khadekar, Vaishali Kamdi and Vitthal Miskin (2011) Higher Dimensional Cosmological Model of the Universe with Variable Equation of state parameter in the presence of G and _ Aspect of Todays Cosmology, Edited by Antonio Alfonso-Faus, published by In Tech, page no. 173.
6. G.S. Khadekar, Rupali Wanjari, Geometry of Quark and Strange Quark Matter in Higher Dimensional General Realtivity, Inte. J. Theo. Phys. Vol. 51, 1408, (2012).
7. G.S. Khadekar, Rajani Shelote, Higher Dimensional Cosmological Model with Quark and Strange Quark Matter, Inte. J. Theo. Phys. Vol. 51, 1442, (2012).
8. G S Khadekar and Arati Ghogre (2013) The behavior of the starnge quark matter for FRW model with time varying constant , Theoretical Physics and Its Application: page.no. 90-100, International Conference on Theoretical Physics (ICTP 2012), Moscow, Russia, Edited by T.F. Kamalov
 



Dr. N.W. Khobragade
1. Khobragade, N.W, Lamba, N.K and Khot, P. G (2009): “Alternative Approach to Revised Simplex Method”, Int. J. of Pure and Appl. Maths. vol. 52, No.5, 693-699, Academic Publication.
2. Gahane, T.T, Varghese, V. and Khobragade, N. W (2009): “Transient Thermoelastic Problem of a cylinder with heat sources”, Int. J Latest Trend Math, Vol. 2 No. 1, pp. 25-36, 2012, UK.
3. Raut, G.N., Varghese, V. and Khobragade, N. W. (2009): “On the plane strain and plane stress solutions of uniformly heated functionally graded solid cylinder or disc problems”, Advances in Math. Sci. and Appl., vol. 19, No.1, 403-413, Japan.
4. Kamdi, D. B, Khobragade, N. W, and Durge, M. H (2009): “Transient Thermoelastic Problem for a Circular Solid Cylinder with Radiation”, Int. Journal of Pure and Applied Maths, vol. 54, No. 3, 387-406, Academic Publication.
5. Khobragade, N.W, and Meshram, D. K.(2009): “Numerical Study of Stress Functions in a Thin Annular Disc due to Partially Distributed Heat Supply”, The Journal of the Indian Acad. of Math., Vol. 31, No.1, pp. 233-240, India.
6. Warsha K. Dange, Varghese, V. and Khobragade, N.W. (2009): “Two- Dimensional Transient Problem for a Thick Annular Disc in Thermoelasticity”, Far East J. of Appl. Maths, vol.34,(2), 205-219.
7. Kamdi, D. B, Khobragade, N. W, and Durge, M. H (2009): “Three Dimensional Transient Thermoelastic Problem of a Thin Rectangular Plate”, Far East Journal of Applied Maths, vol. 37, No. 2, 129-147, India.
8. Warsha K. Dange and N. W, Khobragade (2009): “Three Dimensional Inverse Steady-state Thermoelastic Problem of a Thin Rectangular Plate”, Bull. of Cal. Math Soc. 101, (3), 217-228, India.
9. Khobragade, N.W, Lamba, N.K and Khot, P. G (2012): “Alternative Approach to Wolfe’s Modified Simplex Method for Quadratic Programming Problems”, Int. J. Latest Trends in Maths. vol. 2, No. 1, pp. 19-24, UK.
10. Dange, W. K; Khobragade, N.W, and Durge, M. H (2010): “Three Dimensional Inverse Transient Thermoelastic Problem of a Thin Rectangular Plate”, Int. J. of Appl. Maths, Vol.23, No.2, 207-222, Academic Publication.
11. Dange, W. K; Khobragade, N.W, and Durge, M. H (2010): “Large Deflection Of A Thin Equilateral Triangular Plate”, Int. J. of Pure and Appl. Maths, Vol.60, No.3, 333-343, Academic Publication.
12. Dange, W. K; Khobragade, N.W, and Durge, M. H (2010): “Deflection Of Isosceles Vibrating Triangular Plate”, Int. J. of Pure and Appl. Maths, Vol.60, No.3, 323-332, Academic Publication.
13. Dange, W. K; Khobragade, N.W, and Durge, M. H (2010): “Deflection Of Isosceles Triangular Plate Under Unsteady Temperature Distribution”, Int. J. of Appl. Maths, Vol.23, No.3, 395-412, Academic Publication.
14. Kamdi, D. B, Khobragade, N. W, and Durge, M. H (2010): “Transient Thermoelastic Problem for a Hollow Cylinder With Radiation”, Far East Journal of Applied Maths, vol. 43, No. 2, 97-116, India.
15. Bagade, S.H; Khobragade, N.W, and Varghese, V (2011): “Study of Magneto thermoelastic Interactions and Magnetic Field Vector Perturbation in Hollow Sphere of Functionally Graded Material”, Int. J. of Appl. Maths, vol. 24, No. 6, pp. 829- 839, Academic Publication.
16. Dange, W. K and Khobragade, N. W.(2011) : Transient Problem of a Solid Circular Cylinder With Heat Radiation Due to Thermal Shock, The Journal of Indian Academy of Maths, vol. 33, No. 1, 261--275, India.
17. Dange, W. K and Khobragade, N. W. (2011): Two Dimensional Transient Problem of a Thick Solid Circular Plate Due to Thermal Shock, Far East Journal of Applied Maths, vol. 53, No. 1, pp. 33-42, India.
18. Bagade, S.H; Khobragade, N.W, and Varghese, V (2012): “Magnetothermodynamic Interactions and Magnetic Field Vector Perturbation in Functionally Graded Hollow Cylinder”, Int. Journal of Latest Trends in Maths, Vol. 2, No. 1,pp. 10-18, UK.
19. Lamba, N.K; and Khobragade, N.W (2011): “Inverse Heat Conduction Problem of an Elliptical Cylinder, Canadian Journal on Computing in Maths, Natural Sci. Engg. And Medicine”, Vol. 2, No. 6, pp.152-154, Canada.
20. Hiranwar, Payal; and Khobragade, N.W (2011): “Thermoelastic problem of a thin Annular Disc due to Radiation”, Int. Journal of Pure and Appl. Maths, Vol. 71, No. 3, pp.403-414, Academic Publication.
21. Lamba, N.K; and Khobragade, N.W (2011): “Thermal Stresses of a thin Annular Disc due to Partially Distributed Heat Supply”, Int. Journal of Latest Trends in Maths, Vol. 1, No. 1, pp.18-22, UK.
22. Lamba, N.K; and Khobragade, N.W (2011): “Analytical Thermal Stress Analysis in a thin circular plate due to diametrical compression”, Int. Journal of Latest Trends in Maths, Vol. 1, No. 1, pp.13-17, UK.
23. Walde R. T and Khobragade, N. W (2012): “Transient thermoelastic problem of a finite length hollow cylinder”, Canadian Journal on Science and Engg. Mathematics Research, Vol. 3 No. 2, pp. 56-60, Canada.
24. Kulkarni, Ashwini A and Khobragade, N. W (2012): “Thermal stresses of a finite length hollow cylinder”, Canadian Journal on Science and Engg. Mathematics Research, Vol. 3 No. 2, pp. 52-55, Canada.
25. Ghume Ranjana S and Khobragade, N. W (2012): “Deflection Of A Thick Rectangular Plate”, Canadian Journal on Science and Engg. Mathematics Research, Vol.3 No.2, pp. 61-64, Canada.
26. Walde R. T and Khobragade, N. W (2012): “Inverse Thermoelastic Problem Of A Thin Annular Disc Due To Heat Generation”, Canadian Journal on Science and Engg. Mathematics Research, Vol. 3 No. 2, pp. 48-51, Canada.
27. Hamna Parveen and Khobragade, N. W (2012): “Thermal Stresses Of A Thick Circular Plate Due To Heat Generation”, Canadian Journal on Science and Engg. Mathematics Research, Vol. 3 No. 2, pp. 65-69, Canada.
28. Navneet Kumar Lamba and Khobragade, N. W (2011): “Inverse Heat Conduction Problem of an Elliptical Cylinder”, Canadian Journal on Computing in Mathematics, Natural Sciences, Engineering and Medicine, Vol. 2 No. 6, pp. 152-154, Canada.
29. Warbhe, M. S; Navneet Kumar and Khobragade, N. W (2012): “Inverse Transient Thermoelastic Problem Of An Isotropic Circular Annular Fin”, African journal of mathematics and computer science research, vol. 5(5), 94-101, Africa.
30. Hamna Parveen; Navneet Kumar and Khobragade, N. W (2012): “Thermal deflection of a thin circular plate with radiation”, African journal of mathematics and computer science research, vol.5 (4), 66-70, Africa.
31. Warbhe, M. S and Khobragade, N.W (2012): “Numerical Study Of Transient Thermoelastic Problem Of A Finite Length Hollow Cylinder”, Int. Journal of Latest Trends in Maths, Vol. 2, No. 1, pp. 4-9, UK.
32. Walde, R. T and Khobragade, N.W (2012): “Thermal Deflection Of A Clamped Annular Disc Due To Heat Generation”, Int. Journal of Latest Trends in Maths, Vol. 2, No. 1, pp. 1-3 UK.
33. Roy, Himanshu and Khobragade, N.W (2012): “Transient Thermoelastic Problem Of An Infinite Rectangular Slab”, Int. Journal of Latest Trends in Maths, Vol. 2, No. 1, pp. 37-43, UK.
34. Lamba, N.K; Khobragade, N.W and Khot, P. G (2012): “Alternative Approach To Wolfe’s Modified Simplex Method For Quadratic Programming Problems”, Int. Journal of Latest Trends in Maths, Int. Journal of Latest Trends in Maths, Vol. 2, No. 1, pp. 19-24, UK.
35. Lamba, N.K; and Khobragade, N.W (2011): “Analysis of Thermal Stresses And Displacement In A Thick Annular Disc”, Int. Journal of Latest Trends in Maths, Vol. 1, No. 2, UK.
36. Lamba, N.K; and Khobragade, N.W (2011): “Analysis of Coupled Thermal Stresses in a Axisymmetric Hollow Cylinder”, Int. Journal of Latest Trends in Maths, Vol. 1, No. 2, UK.
37. Lamba, N.K; and Khobragade, N.W (2012): “Thermoelastic Problem of a Thin Rectangular Plate Due To Partially Distributed Heat Supply”, IJAMM, Vol. 8, No. 5, pp.1-11, China.
38. Hamna Parveen; Lamba, N.K; and Khobragade, N.W (2012): “Transient Thermal Stresses in Isotropic Thick Circular Disk with Axisymmetric Heat Supply”, BIO INFO Publication. (Impact Factor 4.47).
39. Lamba, N.K, Walde, R. T and Khobragade, N.W (2012): “Stress functions in a hollow cylinder under heating and cooling processes”, Journal of Statistics and Mathematics. Vol. 3, Issue 3, pp. 118-124, BIO INFO Publication (Impact Factor 4.47).
40. Gahane, T. T and Khobragade, N.W (2012): “Transient Thermoelastic Problem Of A Semi-infinite Cylinder With Heat Sources”, Journal of Statistics and Mathematics, Vol. 3, Issue 2, pp. 87-93, BIO INFO Publication. (Impact Factor 4.47).
41. Gahane, T. T, Khalsa, L H and Khobragade, N.W (2012): “Thermal Stresses in A Thick Circular Plate With Internal Heat Sources”, Journal of Statistics and Mathematics, Vol. 3, Issue 2, pp. 94-98, BIO INFO Publication. (Impact Factor 4.47).
42. Hiranwar Payal C and Khobragade, N.W (2012): “Thermoelastic Problem of An Isotropic Circular Annular Fin”, Journal of Statistics and Mathematics, Vol. 3, Issue 2, pp. 87-93, BIO INFO Publication. (Impact Factor 4.47).
43. Hiranwar Payal C and Khobragade, N.W (2012): “Thermoelastic Problem Of A Cylinder With Internal Heat Sources”, Journal of Statistics and Mathematics, Vol. 3, Issue 2, pp. 87-93, BIO INFO Publication. (Impact Factor 4.47).
44. Dange, W. K; Khobragade, N.W, and Durge, M. H (2012): “Thermal Stresses of a finite length hollow cylinder due to heat generation”, Int. J. of Pure and Appl. Maths, (accepted), Academic Publication. (Impact Factor 0.27).
45. S.D. Bagde and Khobragade, N.W (2012): “Heat conduction problem for a finite elliptic cylinder”, Int. Journal of Scientific & Engineering Research, vol. 3, Issue 8, pp. 1-3, France.
46. V.B. Patil and Khobragade, N.W (2012): “Direct thermoelastic problem of heat conduction with internal heat generation and partially distributed heat supply in rectangular plate”, Canadian Journal of Science & Engineering Mathematics, Vol. 3, No.5, pp. 193-197, Canada.
47. C.S. Sutar and Khobragade, N.W (2012): “An inverse thermoelastic problem of heat conduction with internal heat generation for the rectangular plate”, Canadian Journal of Science & Engineering Mathematics, Vol. 3, No.5, pp. 198-201, Canada.
48. S.D. Bagde and Khobragade, N.W (2012): “Thermoelastic analysis of an elliptical cylinder in Marchi-Fasulo transform domain”, Canadian Journal of Science & Engineering Mathematics, Vol. 3, No.5, pp. 210-212, Canada.
49. Hamna Parveen, N. K. Lamba and Khobragade, N.W (2012): “Thermal Stresses Of A Circular Disk With Internal Heat Sources”, Journal of Statistics and Mathematics, Vol. 3, Issue 3, pp. 125-129, BIO INFO Publication. (Impact Factor 4.47).
50. R. N. Pakade, N. W. Khobragade , T. T. Gahane and L. H. Khalsa (2013): Transient Thermo Elastic Problem of a Circular Plate With Heat Generation, Int. J. of Engg. And Information Technology, vol. 3, Issue 1, pp. 327-330, USA (Impact Factor 1.895).
51. N. W. Khobragade, Payal Hiranwar, H. S.Roy and Lalsingh Khalsa (2013): Thermal Deflection of a Thick Clamped Rectangular Plate, Int. J. of Engg. And Information Technology, vol. 3, Issue 1, pp. 346-348, USA (Impact Factor 1.895).
52. N. W. Khobragade , L. H. Khalsa , T. T. Gahane and A. C. Pathak (2013): Transient Thermo elastic Problem of a Circular Plate With Heat Generation, Int. J. of Engg. And Information Technology, vol. 3, Issue 1, pp. 361-367, USA (Impact Factor 1.895).
53. N. W. Khobragade, Lalsingh Khalsa and Mrs Ashwini Kulkarni (2013): Thermal Deflection of a Finite Length Hollow Cylinder due to Heat Generation, Int. J. of Engg. And Information Technology, vol. 3, Issue 1, pp. 372-375, USA(Impact Factor 1.895).
54. Anjali C. Pathak, Payal Hiranwar, Lalsingh Khalsa and N. W. Khobragade (2013): Thermoelastic Problem of A Semi Infinite Cylinder With Internal Heat Sources, Int. J. of Engg. And Information Technology, vol. 3, Issue 1, USA (Impact Factor 1.895).
55. R.T. Walde , Anjali C. Pathak and N.W. Khobragade (2013): Thermal Stresses of a Solid Cylinder With Internal Heat Source, Int. J. of Engg. and Information Technology, vol. 3, Issue 1, pp. 407-410, USA (Impact Factor 1.895).
56. Mrs. K. G. Lokhande, N.W.Khobragade and P.G. Khot (2013): Simplex Method: An Alternative Approach, Int. J. of Engg. and Information Technology, vol. 3, Issue 1, pp. 426-428, USA (Impact Factor 1.895).
57. H. S. Roy, S. H. Bagade and N. W. Khobragade (2013): Thermal Stresses of a Semi infinite Rectangular Beam, Int. J. of Engg. and Information Technology, vol. 3, Issue 1, pp. 442-445, USA (Impact Factor 1.895).
58. Bagade, S.D; and Khobragade, N.W (2012): “Diffusion and Convection in an Elliptic Tube”, Int. J. of Scientific and Engg. Research, vol.3, Issue 10, 2012.
59. Bagade, S.D; and Khobragade, N.W (2012): “Inverse Thermoelastic Problem of an Elliptic Crown of thin Plate”, Int. J. of Advancements in Research and Technology, vol.1, Issue 7, 2012.
60. Jadhav, C.M; and Khobragade, N.W (2013): “An Inverse Thermoelastic Problem of a thin finite Rectangular Plate due to Internal Heat Source”, Int. J. of Engg. Research and Technology, vol.2, Issue 6, pp. 1009-1019.
61. Jadhav, C.M; and Khobragade, N.W (2013): “An Inverse Thermoelastic Problem of finite length thick hollow cylinder with internal heat sources”, Advances in Applied Science Research, 4(3); 302-314.
62. Jadhav, C.M; and Khobragade, N.W (2013): “Non-Homogeneous Unsteady-state Problem of an inverse of thin Annular Disc with internal heat sources”, Int. J. of Advancements in Research and Technology, vol.2, Issue 6, pp. 32-35.

 


Dr. M.S. Borkar
1. M.S. Borkar and S.S. Charjan Bianchi Type I String Dust Cosmological Model with Magnetic Field In Bimetric Relativity Int. J. of Appl. Math. Vol. 22 No.3, Pp.445-456, 2009, Bulgaria.
2. M.S. Borkar and M.H. Hajare, The Characteristic Quantities of Spherically Symmetric Space-Time Int. J. of Appl. Math. Vol. 22 No.7, Pp.1067-1073, 2009, Bulgeria.
3. M.S. Borkar and S.S. Charjan, LRS Bianchi Type I String Dust Magnetized Cosmological Model in Bimetric Theory of Relativity, J. Tensor N.S. Vol. 71, No. 2, Pp.155-162, 2009, JAPAN.
4. M.S. Borkar and S.S. Charjan, Bianchi Type I Bulk Viscous Fluid String Dust Cosmological Model With Magnetic Field in Bimetric Theory of Gravitation, An Int. Journal AAM Vol.5 No.1, Pp.96-109, June 2010, Texas, USA.
5. M.S. Borkar and P.R. Dhongle Bianchi Type I String Dust Cosmological Model with Magnetic Field In Stationary Space-Time, J. IJAM, Vol.23, No. 6, Pp.977-988, 2010, Bulgaria.
6. M.S. Borkar and S.S. Charjan, Bianchi Type I Magnetized Cosmological Model in Bimetric Theory of Gravitation, J. An Int. J. AAM, Vol. 5, No. 2, Pp.1660-1671, 2010, Texas, USA.
7. M.S. Borkar and S.S. Charjan, The Perfect Charged Distribution in Bimetric Theory Of Relativity, J. Ind. Acad. Maths. Vol. 32, No.1, Pp.147-15, 2010.
8. M.H. Hajare and M. S. Borkar, On Spherically Symmetric Charged Perfect Fluid Distribution in General Relativity, Int. J. of Theo. and Appl. Sciences, Vol. 3(2), Pp. 44-49, 2011
9. M.S. Borkar, On Einstein Static universe, Int. J. of Theo. and Appl. Sciences, Vol. 3(2), Pp. 91-94, 2011.
10. N.P. Gaikwad, M.S. Borkar and S.S. Charjan, Bianchi Type I Massive String Magnetized Barotropic Perfect Fluid Cosmological Model in the Bimetric Theory of Gravitation, J. Chin. Phys. Lett. Vol. 28, No.8, 089803- 1-4, 2011.
11. M.S. Borkar and M.H. Hajare, The Analytical Invariants of Spatially Homogeneous Isotropic Bianchi Type I Cosmological Model, J. IJAM, Vol. 25, No.2, Pp. 175-182, 2012, Bulgaria.
12. M.S. Borkar and P.R. Dhongale, Spherically Symmetric Charged Perfect Fluid Distribution in Stationary Space –Time, J. Tensor N.S. Vol. 73, No. 2, Pp.127-136, 2011, JAPAN.
13. M.S. Borkar and N.K. Ashtankar, Plane Symmetric Viscous Fluids Cosmological Model with Varying - Term in Self Creation Theory of Gravitation, Journal Tensor N. S., Vol. 73, No. 3, Pp 228-236, 2011, JAPAN.
14. M.S. Borkar and P.V. Gayakwad, A Plane Symmetric Viscous Fluid Cosmological Model in Bimetric Theory of Gravitation, Journal AJPAM, Vol. 2, No. 1, Pp. 1-6, Jan.-June 2013.
15. M.S. Borkar and P.R. Dhongale, Cylindrically Symmetric Inhomogeneous String Cosmological Model with Magnetic Field in Stationary Space-Time. Journal AJPAM, Vol. 2, No. 1, Pp. 37-42, Jan.-June 2013.
16. M.S. Borkar and S.S. Charjan, LRS Bianchi Type I String Magnetized Cosmological Model with - Term in Bimetric Theory of Gravitation, Journal AJPAM, Vol. 2, No. 1, Pp. 7-12, Jan-June 2013.
17. M.S. Borkar and S.S. Charjan, Bianchi Type I Magnetized Cosmological Model with - Term in Bimetric Theory of Gravitation, Int. J. AAM, Vol. 8, Issue 1, Pp. 116-127, June 2013 Texas, USA.
18. M.S. Borkar & P.R. Dhongle, Pre-Hawking radiating Gravitational Collapse in Stationary Space-Time (Accepted in International Journal of Theoretical & Applied Sciences)
 


Dr. S.H. Ghate
1. Sujatha Janardhan and R.V.Saraykar, Domain theoretic approach to causal structure on a space-time manifold, Inter. Jour. Mathe. Sci. and Engg. Appl., Vol.4, No.IV, October 2010, 47-58.
2. Rucha Ghate, Suresh Ghate, “Cultural Norms, Cooperation and Communication: Taking Experiments to the Field in Indigenous Communities”, Elinor Ostrom. International Journal of the Commons, Vol 7 No 2, (August 2013), pp 498-520.
3. A.S. Muktibodh and S.H. Ghate, “ON CAMINA GROUP AND ITS GENERALIZATIONS”- . Matematički Vesnik , Vol 65 N0 2, (June 2013), pp 250-260.
4. Ruche Ghate, Suresh Ghate, “Can Communities Plan, Grow and Sustainably Harvest from Forest?” Elinor Ostrom. Economic & Political weekly, Vol. XLVIII, No 8, (Feb. 23, 2013), Special article, pp 59-67.
5. Rucha Ghate, Suresh Ghate, “Autonomy Necessary but not Sufficient : Comparative Study of CFM Nepal and JFM India” Forest and Livelihood, Vol.9(1), (December, 2010).
6. Rucha Ghate, Suresh Ghate, “Joint Forest Management, Role of Communication, and Harvesting Behavior: Evidence from Field Experiments in India”-. Working Paper No 53-10. SANDEE, (October, 2010).
7. Rucha Ghate, Suresh Ghate, “Autonomy Not Enough: Good Institutions Are Necessary Too: A comparative Study of CFM Nepal and JFM India” IFRI Working Paper No W 101-01. School of Natural Resources and Environment, University of Michigan, Ann Arbor, USA, (February, 2010).
1. S.H.Ghate, A.S.Muktibodh, “Let G be a nilpotent group such that every coset xG’=cl(x) for xG\G’. Is there a bound for the nilpotency class of G?” Unsolved Problems in Group Theory- The Kourovka Note Book, Novosibirsk, Vol. 17,(2010).
 


Dr. C.S. Meshram
1. C.S. Meshram, S.A. Meshram and Chand Ram ‘Constructing identity-based cryptographic scheme for beta cryptosystem’, International Journal of Applied Mathematics, vol. 25 (5), 2012, pp. 609-624.
2. C.S. Meshram, Xiaopeng Huang and S.A. Meshram ‘Constructing identity-based cryptographic scheme for QER cryptosystem’, International Journal of Pure and Applied Mathematics, vol. 81 (5), 2012, pp. 737-753.
3. C.S. Meshram, Xiaopeng Huang and S.A. Meshram ‘New Identity-based cryptosystem scheme for IFP and DLP based cryptosystem’, International Journal of Pure and Applied Mathematics, vol. 81 (1), 2012, pp. 65-79.
4. P.M. Salve and S.A. Meshram ‘Steady-state thermoelastic problem of a finite length hollow cylinder’, International J. of Multidispl. Research & Advcs. in Engg. (IJMRAE), Vol. 4, No. II, pp. 357-370, 2012.
5. C.S. Meshram, S.A. Meshram and Mingwu Zhang ‘An ID-based cryptographic mechanisms based on GDLP and IFP’, Information Processing Letters, vol. 112 (19), 2012, pp. 753-758 (Elsevier).
6. C.S. Meshram and S.A. Meshram ‘A Public key cryptosystem based on IFP and DLP’, International Journal of Advanced Research in Computer Science, vol. 2 (5), 2011, pp. 616-619.
7. C.S. Meshram and S.A. Meshram ‘Some Modification in ID-based cryptosystem using IFP & DDLP’, International Journal of Advanced Computer Science and Applications, vol. 2 (8), 2011, pp. 25-29.
8. C.S. Meshram and S.A. Meshram ‘An Identity based Beta Cryptosystem’ IEEE Proceedings of 7th International Conference on Information Assurance and Security (IAS 2011) Dec. 5-8, 2011, pp. 298-303.
9. P.M. Salve and S.A. Meshram ‘Inverse transient quasi-static thermal stresses in a thin rectangular plate’, Adv. Theor. Appl. Mech., vol. 3, No. 5, 221-231, 2010.
10. P.M. Salve and S.A. Meshram ‘An inverse transient thermoelastic problem in a short length circular cylinder’, Int. J. of Appl. Math and Mech., vol. 6 (1), pp. 13-24, 2010.


Dr. G.D. Kedar
1. K.C.Deshmukh, S.D.Warbhe, G.D.Kedar, V.S.Kulkarni (2010), Inverse heat conduction problem in a semi-infinite circular plate and its thermal deflection by quasi-static approach, Applications and Applied Mathematics: An International Journal (AAM), Vol.5, No. 1, pp. 120 -127.
2. K.C.Deshmukh, S.D.Warbhe, G.D.Kedar, V.S.Kulkarni (2011), Inverse heat conduction problem in a semi-infinite cylinder and its thermal stresses by quasi-static approach’’, Applications and Applied Mathematics: An International Journal, Texas, USA. AAM Vol 6, Issue 11, Pp 1883-1829.
3. K.C.Deshmukh, S.D.Warbhe, G.D.Kedar, V.S.Kulkarni (2012) Thermal stresses in a semi-infinite solid circular cylinder, International Journal of Applied Mathematics and Mechanics, Vol 8 ( 10) pp. 38-46.
4. G.D.Kedar and K.C.Deshmukh, “Estimation of temperature distribution and thermal stresses in a thick circular plate, African Journal of Mathematics and Computer Science Research Vol. 4 (13) pp 389-395, December 2011.
5. G.D.Kedar and K.C.Deshmukh (2012) A transient heat conduction problem of semi-infinite solid circular cylinder and its thermal deflection by quasi-static approach, International Journal of Physics and Mathematical Sciences, Vol. 2 ( 4) , 2012, pp 11-16.
6. K.C. Deshmukh, M.V. Khandait, G.D. Kedar and Y.I. Quazi (2012) Non-homogeneous steady state heat conduction with thermal stresses in rectangular plate, Proceedings of 57th Congress of ISTAM (An International Meet), pp. 183-188, Dec 17-20.
7. G.D.Kedar and K.C.Deshmukh (2013) Determination of thermal stresses in a thin clamped hollow disk under unsteady temperature field due to point heat source, IOSR Journal of Mathematics, Vol. 4, Issue 6, Jan 2013 pp 14-19.
8. G.D.Kedar and K.C.Deshmukh (2013) Inverse estimation of temperature distribution and thermal stresses in a semi-infinite hollow circular cylinder by quasi-static approach, International Journal of Math. Sci & Engg .Appls , Vol.7 , No.1, pp. 371-381.
9. G.D. Kedar and K.C. Deshmukh (2013) Thermal Deflection in a Semi-infinite Hollow Circular Cylinder Subjected to Ramp-type Heating, Asian Journal of Current Engg and Maths., Vol. 2(1), 27 – 29.
10. G.D. Kedar and K.C. Deshmukh (2013) Estimation of Thermal Stresses due to Arbitrary Initial Heat Supply in a Semi-infinite Solid Circular Cylinder by quasi-static approach, Int. J. of Applied Mathematical Sciences, Vol. 6(1), 29-37.
11. G.D.Kedar and K.C.Deshmukh (2013) Thermal stresses due to ramp-type heating in a semi-infinite hollow circular cylinder, Far East Journal of Applied Mathematics, 76 (1), pp. 01-12.
12. S.P. Pawar, K.C. Deshmukh and G.D. Kedar (2013) Effect of Internal Heat Generation and Temperature Asymmetry in a Hollow Sphere and its Thermal Stresses, Journal of Thermoelasticity Vol.1 No. 3 ISSN 2328-2401 (Print) ISSN 2328-241X (Online) http://www.researchpub.org/journal/jot/jot.html.
13. S.P. Pawar, K.C. Deshmukh, G.D. Kedar (2013) Effect of Heat Generation on Quasi- Static Thermal Stresses in a Solid Sphere, IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728,p-ISSN: 2319-765X, Volume 7, Issue 5, PP 21-29.
14. S.P. Pawar, K.C. Deshmukh and G.D. Kedar (2013) Thermal stresses in a solid sphere with convective heat transfer, Proceedings of UGC sponsored a National conference on Frontiers of Mathematics, pp. 05-14.
15. S.P. Pawar, K.C. Deshmukh A.B. Buradkar and G.D. Kedar (2013) A temperature distribution in a functionally graded hollow sphere with heat generation: A comparative study with Isotropic model’’, Proceedings of UGC sponsored a National conference on Frontiers of Mathematics, pp. 97-104.
 

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Visit to Other Institutions Since 2009
Dr. K.C. Deshmukh

1. Delivered an invited talk on Boundary Value Problems of Heat Conduction in the State Level Seminar on Recent Trends in Mathematics, organized by Dept. of Mathematics, Sardar Patel College, Chandrapur on 21-03-2009.
2. Delivered a talk in the AICTE sponsored STTP on “Recent Trends in Engineering Mathematics’’organised by Department of Mathematics, VNIT, Nagpur on 24-07-2009.
3. Delivered a talk in the National Conference on “Recent trends in the advancement of Astromy and Applied Mathematics’’held on November 14-15 ,2009 at S.G.R.R. College , Deharadun.
4. Delivered a invited talk in the National Seminar on History of Mathematical Sciences during Feb. 26-27, 2010 organised by Dept. of Mathematics, Swami Vivekanand Govt. Post Graduate College, Nimach.
5. Delivered a invited talk in the 5th National Conference on Applicable Mathematics in Wave Mechnics and Vibration, March 13-15, 2010 organised by Dept. of Mathematics, Kakatiya University, Warangal (A.P.) and Chaired a technical session.
6. Delivered a invited talk in the National Conference on Recent trends in Mathematical Sciences March, 30-31, 2010 organised by Dept. of Mathematics, Osmania University, Hyderabad (A.P.).
7. Delivered a talk as a resource person in REFRESHER COURSE organised by Academic College R.T.M. Nagpur University, Nagpur on 4th March 2010.
8. Delivered a talk in the UGC Sponsored National Workshop in Mathematics, Emerging Areas Of Applications of Mathematics, organized by Govt. P.G. College, Dhamtari, ( C.G ) October 26 -28, 2010
9. Delivered a talk as a Resource person in the academic staff college , Nagpur on 6-3- 2011.
10. Delivered a Invited talk in National Conference on Mathematicall Modelling and Numerical Simulation, March 25-27, 2011 by Department of Applied Mathematics, Institute of Technology, B.H.U. , Varanashi.
11. Delivered a talk in the National conference in Mathematics on 06.02.2012 at Loknete Vyankatrao Hiray Arts, Science and Commerce College, Nasik.
12. Delivered a talk in the National conference organized by Bhilai Institute of Technology, Durg, Mar 16-17, 2013.
 


Dr. R.V. Saraykar
1. Invited lecture on “Special Relativity and Lorentz Group”, at Work-Shop on Mathematics and Applications, 14 March 2009, at Sardar Patel College, Chandrapur.
2. Invited talk at Seminar on “ Recent Developments in General Relativity and Astrophysics” organized by Shri Bapurao Deshmukh College of Engineering, Sewagram, Wardha, on 21st March 2011.
3. Invited talk on “Causal and Topological Aspects in Special and General Theory of Relativity” delivered at the Work-shop on “Computational techniques of Geometry in General relativity and Allied topics”, organized by Department of Mathematics, Aligarh Muslim University, Aligarh, November 16-20, 2012.
4. Invited talk on “Einstein Constraint Equations- A Mathematical Perspective”, delivered at the International Conference on Differential Geometry and Relativity, organized by Department of Mathematics, Aligarh Muslim University, Aligarh, November 20-22, 2012.
5. Invited talk on “Space-time Singularities – Current Status”, delivered at the UGC sponsored National Conference on Frontiers of Mathematics, organized by Department of Mathematics, Kamla Nehru Mahavidyalaya, Nagpur, March 22, 2013.
 


Dr. N.W. Khobragade
Visited to Malaysia, Singapore and Thailand for academic purpose
(30th Oct. 2012 – 14th Nov. 2012)


Dr. G.S Khadekar
1. Visited Inter University Center for Astronomy and Astrophysics, (IUCAA) Pune, March 20-22, 2012 under Special Assistance Programme (SAP) for research interaction and library reference work and discussion with the faculties.
2. Visited TIFR, Mumbai, May 23- 25, 2012 under Special Assistance Programme (SAP) for research interaction and library reference work and discussion with the faculties.
3. Visited Department of Mathematics, Jadhavpur University, Kolkata, Chennai, May. 5-07, 2013 under Special Assistance Programme (SAP) for research interaction and library reference work and discussion with the faculties.
4. Invited talk at Indian science Congress, Department of Mathematics, Kerla University, Kerla, Jan. 3-7, 2010
5. Invited talk at Indian science Congress, Department of Mathematics, SRM University, Chennai, Jan. 3-7, 2011
6. Invited talk at 77th Annual Conference of the Indian Mathematical Society (IMS), School of Mathematics, S.R.T.M. University, Nanded (M.S.), December 27-30, 2011
7. Invited talk at Indian science Congress, Department of Mathematics, SRM University, Chennai, Jan. 3-7, 2011
8. Invited talk at International Conference on Modern Perspectives of Cosmology and Grav- itation (COSGRAV 12), Physics and Applied Mathematics Unit, Indican Statistical Institute, Kolkata, February 7-11, 2012
9. Invited talk at National Conference on Pure and Applied Mathematics at Royal Group of Institute, Guwahati (Asam ) during 19-10, May 2013.
 


Dr. S.H. Ghate
1. Visiting fellow at the dept of Mathematics, Indiana University, Bloomington, USA during May-June 2011
2. Visiting fellow at the Workshop in Political Theory and Policy Analysis, Indiana University, Bloomington, USA to work with Prof. Elinor Ostrom.


Dr. M.S. Borkar
1. Visited to K.Z.S. Science College Bramhni, Tah: Kalmeshwar Distt. Nagpur under L.E.C. committee to approve B.C.A. Courses on17th March, 2010.
2. Visited to Department of Mathematics, Veer Narmad South Gujrat University Surat, Gujrat in December, 2011 in connection with Major Research project and discussed with faculty members under Major Research Project, sanctioned by UGC, New-Delhi
3. Visited to Govt. Institute of Science, Nagpur, under L.E.C. Committee to approve Environment Science Courses at M. Sc. Level, on Janu.17, 2012
4. Visited to ‘Rani Indirabai Bhonsle College’, Kuhi, Dist. Nagpur as a Chairman of enquiry committee to inspect the College and to grant the permission to start New Course ‘Home-economy in Art Faculty and one Commerce Faculty on Janu. 20, 2012
5. Visited to ‘Pankaj Tijare College Weltur, Tah. Kuhi, Dist. Nagpur as a Chairman of enquiry committee to inspect the College and to grant the permission to start New Courses B.Com., M. A. (Sociology), M. A. (Marathi) on Janu. 25, 2012.
6. Visited to Department of Mathematics, University of Pune, on 21st March, 2012 under Major Research Project and discussed with faculty members matter connected to research work.
7. Visited to IUCAA, Pune, during March 20-22, 2012, under SAP (Special Assistance Programme) and collected the research literature of my research work.
8. Visited to Department of Mathematics, Jadavpur University and also visited to Department of Mathematics, Kolkata University, during 17-21 Dec., 2012 under Major Research Project.
 


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Faculty serving in committees and Editorial Boards and others
Dr. K.C. Deshmukh
 Life member of Indian Society for Technical Education.
 Ex-Member of Indian Science Congress.
 Ex-Member of Indian Academy of Mathematics, Indore.
 Recognized Ph. D. Supervisor in Mathematics, RTM Nagpur University, Nagpur.
 Ex-Member of Editorial Board, Journal of Science, Nagpur University, Nagpur.
 Ex-Member of Equivalence Committee, Nagpur University, Nagpur.
 Ex-Member of Board of University Teachers Recognition Committee, Nagpur University, Nagpur.
 Member of Research Recognition Committee, Nagpur University, Nagpur.
 Member of Organizing Committee, National Symposium on Mathematical Physics, Organised in Department of Mathematics, March 1-4, 2001.
 Member of Doctoral Research Committee, Rani Durgawari University, Jabalpur.
 Member of Advisory Committee, Varahmihir Journal of Mathematical Science, Sandipani Academy, Ujjain.
 Member of Editorial Board, Vikram Mathematical Journal Published by School of Studies in Mathematics, Vikram University, Ujjain (MP).
 Member of Research Recognition Committee, Devi Ahilyabai Holkar University, Indore.
 Life member of Von Karman Society for Advance Study and Research Mathematical and Social Sciences, Jalpaiguri, West Bengal, India.


Dr. R.V. Saraykar
 Life member of Indian Association for General Relativity & Gravitation (IAGRG).
 Life member of Tensor Society, Lucknow.
 Member of Board of Studies in Mathematics, RTM Nagpur University.
 Recognized Ph. D. Supervisor in Mathematics, RTM Nagpur University, Nagpur.
 Member of 32/5 Committee in Mathematics RTM Nagpur University.
 Referee for Journal of Gravitation and Cosmology (Russia).
 Referee for International Journal of Theoretical Physics. (IJTP), London, UK.


Dr. N.W. Khobragade
 Life member of Journal of Indian Academy of Mathematics, India.
 Review Editorial Board, Journal of Mathematical Sciences, India.


Dr. G.S Khadekar
Member of Editorial Board of the Journals
 Journal of Dynamical System and Geometric Theories (Published from: USA, India, Iran)
 Proceeding Einstein Foundation International
 The Open Astronomy Journal, U.S.A.
Referee of Journals
 International Journal of Modern Physics A and D (Singapore)
 Astrophysics and Space Science (Netherlands)
 Journal of Dynamical System and Geometric Theories (USA, Iran)
 International Journal of Modern Physics Letter A (Singapore)
 Chinees Physics letter (IOP Journal)
 International Journal of Theoretical Physics (IJTP) (London, UK)
 Fizica B
Member of Learned Societies
 Secretary: Einstein's Foundation International, Nagpur
 Secretary: Vidarbha Academy of Science, Nagpur
 Secretary: Madhubharati Institute of Mathematics, Nagpur
 Member: Indian Society of Technical Education, New Delhi
 Member: Board of Studies of Mathematics Amravati University, Amravati Since 1995
 Member: Board of Studies of Mathematics RTM Nagpur University, Nagpur Since 2006
 Member: Nagpur University Teachers Organization
 Member: Indian Academy of Mathematics, Indor, INDIA
 Member: International Society of General Relativity and Gravitation (U.K)
 Member: Internal Quality Assurance Cells (IQAC) RTM Nagpur University, Nagpur
 Member: Interconnectivity under UGC info net programme RTM Nagpur University, Nagpur
 Member: University with Potential Excellence (UPE), RTM Nagpur University, Nagpur
 Member: NAAC, RTM Nagpur University, Nagpur
 Member: Statistical Cell, RTM Nagpur University, Nagpur
 Member: Research Recognition Committee (RRC), Swami Ramanand Trirth Marathwada University (SRTM), Nanded (M.S.)
 Member: Academic Council, RTM Nagpur University, Nagpur


Dr. M.S. Borkar
Member of Various Bodies/Journals
 Recognized as supervisor for M. Phil. (Dissertation) in Mathematics, Periyar Institute of Distance Education ( PRIDE), Periyar University, Salem, Tamilnadu
 Member of Subject Expert Committee for appointment of Teaching Staff (TGT and PGT) in Navodaya Vidyalaya ( Pune Region),under Ministry of HRD, Govt. of India
 Member of Indian Mathematical Society, New- Delhi
 Member of Indian Academy of Mathematics, Indore
 Ex-Member of Board of Studies, Faculty of Science, RTM Nagpur University, Nagpur
 Member of Subject expert committee in Mathematics, for recruitment of Assit. Professor/ Lecturer in Engineering and other Colleges affiliated to RTM Nagpur University, Nagpur.
 Member of Admission Committee of M. Sc. Part I and Part II of departmental admission.
 Looked–after Departmental routine work, in the absence of Head for an about 30-days discontinuously.
 The Scrutiny and Tabulation work done in Revaluation Section, RTM Nagpur University, have done by me.
 Paper setter of M. C. A. Entrance Test, R.T.M. Nagpur University, Nagpur.
 Paper setter and Examiner of M. Sc. Part I and Part II (Mathematics) R.T.M. Nagpur University, Nagpur, since last 10 Years.
 Member of Special Enquiry Committee, RTM Nagpur University, Nagpur to inspect the affiliated Colleges to complete the courses which have not thought in Strike Period in 2009.
 Member of local Enquiry Committee, RTM Nagpur University, Nagpur.
 Chairman, Visiting Committee, R.T.M. Nagpur University, Nagpur to grant permission to open New Faculty, New Courses, in the affiliated Colleges .
 Organized ‘Workshop on Mathematical Techniques’, under students co-curriculum activity for M. Sc. Part I and Part II students of the Department during Dec. 30- 31, 2011
 Organized ‘Workshop on Mathematical Software’s and its Applications’, under students co-curriculum activity for M. Sc. Part I and Part II students of the Department during Jan. 21- 22, 2013


Dr. G.D. Kedar
 Life member of Indian Society of Theoretical and Applied Mechanics Life
 Life member of Von Karman Society for Advanced study and Research in Mathematical and Social Sciences.
 Recognized Ph. D. Supervisor in Mathematics, RTM Nagpur University, Nagpur.
 Worked as convener in two National Conferences.
 

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