|
Curriculum
Vitae
Of
DHIRENDRA
BAHUGUNA
|
|
ADDRESS FOR
CORRESPONDENCE
Dr. D. Bahuguna
Professor
Department of Mathematics
I.I.T. Kanpur - 208 016
INDIA.
E-mail: dhiren@iitk.ac.in
Phone: 0512-2597053 (Office)
0512-2598604 (Residence)
PERSONAL
DETAILS
Date of Birth : June 28, 1962.
Nationality : Indian.
Sex : Male.
Marital Status : Married.
PRESENT STATUS
Working as Professor in the Department of mathematics,
Indian Institute of Technology, Kanpur since December 2007.
EDUCATIONAL
QUALIFICATIONS
Ph.D. : In
Mathematics from I.I.T. Kanpur in 1990 under the supervision
of Prof. V. Raghavendra,
Professor, Department of Mathematics,
I.I.T. Kanpur.
M.Sc. : In
Applied mathematics from Roorkee University in 1984
with
77.66% of marks with
honors.
B.Sc. : In Physics, Chemistry and Mathematics from Garhwal
University
in 1981 with 70.1% of marks.
RESEARCH INTERESTS
Main areas of research interest are Differential Equations in Abstract
Spaces (34Gxx), Functional Differential Equations (34Kxx), Parabolic
Equations and Systems (35Kxx), Equations of mathematical physics and
other
areas of application (35Qxx), Approximation in
normed linear spaces and other
abstract spaces (41A65)
RESEARCH AND
TEACHING EXPERIENCE
Working as Professor in the Department of mathematics,
I.I.T.
Kanpur since December 2007.
Worked as Associate Professor in the Department of
mathematics, I.I.T.
Kanpur from December 2002 to December 2007.
Worked as Assistant Professor in the Department of Mathematics, IIT
Kanpur from September 1997 to December 2002.
Major Courses Taught:
MSO202/A (Complex Analysis) as Instructor during first
semester in 2014-15.
MTH653(Integral Equations) in the
second semester in 2013-14.
MTH-203 as Instructor Incharge during I
semester of 1998-99
MTH-203R as Instructor Incharge
during II semester of 1997-98.
Other Courses Taught:
MTH-408 (Mathematical Methods) during II semester of 1998.
Worked as Assistant Professor in the Department of
mathematics, I.I.T.
Madras from November
29, 1995 to September
10, 1997.
Worked as Lecturer in the Department of Mathematics and Astronomy, Lucknow
University, Lucknow from May 27, 1991 to November 23, 1995.
Worked as Lecturer at North-Eastern Regional Institute of Science and
Technology, Itanagar from October 30, 1989 to May 21, 1991.
Worked as Senior Research Fellow in the Department of
Mathematics, I.I.T.
Kanpur from July 28,
1986 to September 1989.
Worked as Junior Research Fellow in the Department of
Mathematics, I.I.T.
Kanpur from July 28,
1984 to July 28,
1986.
NBHM SPONSORED
RESEARCH PROJECT
Completed
a Three-year Research Project on "Functional Differential
Equations
arising in the Study of Materials with Memory" sponsored by
the
National Board for Higher Mathematics from March 1998 to February 2001.
Worked
on a Three-year Research Project on "Abstract Evolution Equations
and their
Applications” sponsored by the National Board for Higher Mathematics
starting
from March 2002-February-2005.
NBHM SPONSORED WINTER SCHOOL
Worked as one of the Coordinators (with Prof. V. Raghavendra
and Dr. B.V.
Ratish
Kumar) for the Winter
School on "Sobolev Spaces and its
Applications"
from December 3 to December
19, 1998.
Delivered
five lectures on "theory of Distributions and Applications" for
the above
mentioned Winter School.
ORGANIZATION OF AN
INTERNATIONAL CONFERENCE
Organized (with Prof. V. Raghavendra and Prof.
A.K. Pani) the
International Conference on “Current Trends in Differential
Equations and Dynamical Systems” During December 15-17, 2001
at I.I.T. Kanpur sponsored by NBHM, AICTE, CSIR
and DST.
ADMINITRATIVE
EXPERIENCE
Working
as Chairman, Council of Wardens, I.I.T. Kanpur since
February, 2003.
Worked
as Vice Chairman, Council of Wardens, I.I.T. Kanpur from February 2002 to
January
2003.
Worked as
Warden and Warden-In-Charge, Hall - II of I.I.T. Kanpur from January 1,
1998 to Jaunary 2001.
Worked as a Member of DUGC and DUDC Convenor
from July 1998 to September 2001.
LIST OF
PUBLICATIONS
Books Editted
D. BAHUGUNA,
V.RAGHAVENDRA AND B.V. RATHISH KUMAR:
Topics
in Sobolev Spaces and their Applications,
Narosa, 2002.
D.
BAHUGUNA: DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS,
Narosa, 2005.
List of Publications
MR3233519 Prelim
Kumar, Pradeep; Pandey, D.
N.; Bahuguna, D.; Approximations of solutions to a
retarded type fractional differential equation with a deviated argument. J.
Integral Equations Appl. 26
(2014),
no.
2, 215-242.
MR3218899 Prelim
Maqbul, Md.; Bahuguna, D.;
Almost Periodic Solutions for Stepanov-Almost
Periodic Differential Equations. Differ.
Equ.
Dyn.
Syst. 22
(2014),
no.
3, 251-264.
MR3151715 Indexed
Kumar,
Pradeep; Pandey, Dwijendra N.; Bahuguna, D. On a new class of abstract impulsive
functional differential equations of fractional order. J.
Nonlinear Sci. Appl. 7
(2014),
no.
2, 102-114. 34K37
(26A33 34K45 35R11 45J05)
MR3135042 Reviewed
Kamaljeet; Bahuguna, D. Controllability of the impulsive finite
delay differential equations of fractional order with nonlocal conditions.
Neural Parallel Sci. Comput.
21
(2013),
no.
3-4, 517-532. (Reviewer: Krishnan Balachandran) 34K30
(26A33 34K37 34K45 93B05)
MR3009492 Indexed
Mishra,
Indira; Bahuguna, D. Weighted pseudo almost automorphic
solution of an integro-differential equation, with
weighted Stepanov-like pseudo almost automorphic forcing term. Appl.
Math. Comput. 219 (2013),
no.
10, 5345-5355. 45J05
MR2972639 Reviewed
Maqbul, Md.; Bahuguna, D. On the Stepanov-like
almost automorphic solutions of abstract differential
equations. Differ.
Equ.
Dyn.
Syst. 20
(2012),
no.
4, 377-394. (Reviewer: Bolis Basit)
34C27
(34G20)
MR2962108 Reviewed
Haloi, Rajib; Pandey, Dwijendra N.; Bahuguna, D. Existence, uniqueness and asymptotic stability
of solutions to non-autonomous semi-linear differential equations with deviated
arguments. Nonlinear Dyn. Syst.
Theory 12
(2012),
no.
2, 179-191. 34K30
(34G20)
MR2897755 Reviewed
Haloi, Rajib; Pandey, Dwijendra N.; Bahuguna, D. Existence and uniqueness of a solution for
a non-autonomous semilinear integro-differential
equation with deviated argument. Differ.
Equ.
Dyn.
Syst. 20
(2012),
no.
1, 1-16. (Reviewer: Ludwik Byszewski)
34G20
(34K30 35K90 35R20 45J05)
MR2817174 Reviewed
Mishra,
I.; Bahuguna, D.; Abbas,
S. Existence of almost automorphic solutions of
neutral functional differential equation. Nonlinear Dyn. Syst.
Theory 11
(2011),
no.
2, 165-172. (Reviewer: Khalil Ezzinbi) 34K14
(34K40 37L05)
MR2798816 Reviewed
Dabas, J.; Bahuguna, D. Existence and uniqueness of solutions of
strongly damped wave equations with integral boundary conditions. Nonlinear Dyn. Syst.
Theory 11
(2011),
no.
1, 65-82. (Reviewer: Massimo Cicognani) 35L35
(35A01 35A02 35Q74 47N20)
MR2663685 Indexed
Bahuguna, D.; Shukla, R. K.; Kumar, Rakesh; Kumar, Kamalendra Well-posedness of
a class of parabolic integro-differential equations. J.
Int. Acad. Phys. Sci. 14
(2010),
no.
4, 481-485. 35K20
(35B30 35R09)
MR2560802 Reviewed
Bahuguna, D.; Shukla, R. K.; Saxena, S. Functional differential equations with
nonlocal conditions in Banach spaces. Nonlinear Dyn. Syst.
Theory 10
(2010),
no.
4, 317-323. (Reviewer: Andrei Horvat-Marc) 34G20
(34B10 34K30 47D06 47N20)
MR2739482 Reviewed
Ali,
Javid; Imdad, M.; Bahuguna, D. Common fixed point theorems in Menger spaces with common property (E.A). Comput.
Math. Appl. 60
(2010),
no.
12, 3152-3159. 47H10
(47S50)
MR2724499 Reviewed
Pandey, Dwijendra N.; Ujlayan, Amit; Bahuguna, D. On nonlinear abstract neutral differential
equations with deviated argument. Nonlinear Dyn. Syst. Theory
10
(2010),
no.
3, 283-294. (Reviewer: Rodrigo L. Pouso) 34K30
(34G20)
MR2653610 Reviewed
Bahuguna, D.; Abbas,
S.; Shukla, R. K. Laplace transform method for
one-dimensional heat and wave equations with nonlocal conditions. Int.
J. Appl. Math. Stat. 16
(2010),
No.
M10,
96-100. 65M99 (35L20 45K05 65R10)
MR2643194 Reviewed Pandey, D. N.; Ujlayan, A.; Bahuguna, D. Semilinear hyperbolic
integrodifferential equations with nonlocal conditions. Nonlinear Dyn. Syst. Theory 10 (2010), no. 1, 77-92. (Reviewer: Jana Kopfova) 45J05 (34B10 34G20 34K30 47N20)
MR2562408 Indexed Bahuguna, D.; Ujlayan, A.; Pandey, Dwijendra N. Method of Kronecker
product to advanced type Riccati differential systems with strongly coupled
quadratic terms. Comput. Math. Appl. 58 (2009), no. 8, 1615-1622. 34K07
MR2535909 Reviewed Abbas, S.; Bahuguna, D.; Banerjee, M. Effect of stochastic
perturbation on a two species competitive model. Nonlinear Anal. Hybrid Syst. 3 (2009), no. 3, 195-206. 92D25 (34K50 60G35 93E15)
MR2536279 Reviewed Pandey, Dwijendra N.; Ujlayan, Amit; Bahuguna, D. On a solution to fractional
order integrodifferential equations with analytic semigroups. Nonlinear Anal. 71 (2009), no. 9, 3690-3698. 34G20 (26A33 34C10 34K05 45A05 47D06)
MR2509961 Reviewed Bahuguna, D.; Ujlayan, A.; Pandey, D. N. A comparative study of
numerical methods for solving an integro-differential equation. Comput. Math. Appl. 57 (2009), no. 9, 1485-1493. 65R20 (65T60)
MR2491276 Indexed Bahuguna, D.; Ujlayan, Amit; Pandey, Dwijendra N. ADM series solution
to a nonlocal one-dimensional heat equation. Int. Math. Forum 4 (2009), no. 9-12, 581-585. 35K05 (35C10 35K20 65M99)
MR2499731 Reviewed Bahuguna, D.; Pandey, D. N.; Ujlayan, A. Non-autonomous nonlinear
integro-differential equations with infinite delay. Nonlinear Anal. 70 (2009), no. 7, 2642-2653. (Reviewer: Natali
Hritonenko) 34K06 (45J05)
MR2534443 Indexed Abbas, S.; Bahuguna, D. Almost periodic solutions of
nonlinear functional differential equations. Differ. Equ. Dyn. Syst. 16 (2008), no. 3, 289-308. 34K14
MR2533966 Reviewed Abbas, S.; Bahuguna, D. Almost periodic solutions of
a functional differential equation by monotone iterative method. Differ. Equ. Dyn. Syst. 16 (2008), no. 1-2, 47-62. (Reviewer: Gani T. Stamov)
34K14 (47N20)
MR2482448 Reviewed Bahuguna, D.; Dabas, J.; Shukla, R. K. Method of lines to
hyperbolic integro-differential equations in Rn. Nonlinear Dyn. Syst. Theory 8 (2008), no. 4, 317-328. 35L15 (35L90 47D06)
MR2463299 Reviewed Bahuguna, D.; Dabas, J. Existence and uniqueness of a
solution to a semilinear partial delay differential equation with an integral
condition. Nonlinear Dyn. Syst. Theory 8 (2008), no. 1, 7-19. (Reviewer: Jana Kopfova) 35K55 (34K30 35R10 47N20)
MR2458659 Reviewed Bahuguna, D.; Muslim, M. Approximation of solutions to a
class of second order history-valued delay differential equations. Nonlinear Dyn. Syst. Theory 8 (2008), no. 3, 237-254. (Reviewer: Diana Otrocol) 34K30 (34K07 35R10 47D06 47N20)
MR2446358 Reviewed Bahuguna, D.; Abbas, S.; Dabas, J. Partial functional differential
equation with an integral condition and applications to population dynamics. Nonlinear Anal. 69 (2008), no. 8, 2623-2635. 35K20 (65M20 92D25)
MR2443208 Reviewed Muslim, M.; Bahuguna, D. Existence of solutions to
neutral differential equations with deviated argument. Electron. J. Qual. Theory Differ. Equ.
2008, No. 27, 12 pp. (Reviewer: Eva
Sánchez) 34G20 (34K30 34K40 47D06 47N20)
MR2416028 Reviewed Abbas, S.; Bahuguna, D. Almost periodic solutions of
neutral functional differential equations. Comput. Math. Appl. 55 (2008), no. 11, 2593-2601. (Reviewer: V. G.
Kurbatov) 34K14 (34K40 47N20)
MR2379387 Reviewed Bahuguna, D.; Pandey, D. N.; Ujlayan, A. Nonlocal semi-linear
hyperbolic integro-differential equations in a Banach space. Int. J. Appl. Math. Stat. 13 (2008), No. S08,
21-30. 34G20 (34K30 45K05 45N05 47G20 47N20)
MR2369418 Reviewed Bahuguna, D.; Dabas, J. Existence and uniqueness of a
solution to a partial integro-differential equation by the method of lines. Electron. J. Qual. Theory Differ. Equ.
2008, No. 4, 12 pp. (Reviewer: Teresa
Winiarska) 34K30 (34G20 45K05 47H06 47H20)
MR2385827 Reviewed Bahuguna, D.; Ujlayan, A.; Pandey, D. N. Advanced type coupled matrix
Riccati differential equation systems with Kronecker product. Appl. Math. Comput. 194 (2007), no. 1, 46-53. (Reviewer: Bernard J.
Harris) 34A05 (34K07)
MR2351436 Reviewed Bahuguna, D.; Abbas, S. Pseudo almost periodic mild
solutions of retarded functional differential equations. Glob. J. Pure Appl. Math. 3 (2007), no. 1, 27-36. (Reviewer: Bhagat Singh) 34K14 (34K30)
MR2323044 Reviewed Bahuguna, D.; Pandey, D. N.; Ujlayan, A. Second-order
integrodifferential equation with nonautonomous operators. Differential Integral Equations 20 (2007), no. 6, 681-692. (Reviewer: Valentin
Keyantuo) 45N05 (34A12 34K30 35L15 35L90 47G20 47N20)
MR2222779 Reviewed Bahuguna, D.; Muslim, M. A study of nonlocal
history-valued retarded differential equations using analytic semigroups. Nonlinear Dyn. Syst. Theory 6 (2006), no. 1, 63-75. (Reviewer: Hiroki Tanabe) 34G20 (34K30 47D06 47N20)
MR2204173 Indexed Bahuguna, D.; Muslim, M. Approximation of solutions to
non-local history-valued retarded differential equations. Appl. Math. Comput. 174 (2006), no. 1, 165-179. 34K30 (34G20 65L05)
MR2273683 Reviewed Bahuguna, D.; Shukla, R.; Singh, S. Application of method of
semidiscretization in time to semilinear viscoelastic systems. Differential Equations Dynam. Systems 13 (2005), no. 3-4, 323-341. 47N20 (34G10 65M20 74D10 74H15)
MR2189831 Reviewed Bahuguna, D.; Shukla, R. K. Application of Rothe's
method to delay differential equations. Bull. Calcutta Math. Soc. 97 (2005), no. 6, 511-516. (Reviewer: Brian Bradie) 65M06 (35L20 35L70 35R10 92D25)
MR2187623 Reviewed Bahuguna, D.; Shukla, R. K. Partial functional
differential equations and applications to population dynamics. Nonlinear Dyn. Syst. Theory 5 (2005), no. 4, 345-356. 35K55 (34G20 34K30 35A35 35Q80 35R10 92D25)
MR2173331 Reviewed Agarwal, S.; Bahuguna, D. Exact and approximate
solutions of delay differential equations with nonlocal history conditions. J. Appl. Math. Stoch. Anal. 2005, no. 2, 181-194. (Reviewer: Hiroki Tanabe) 34K30 (34G20 34K07 35K20 35R10)
MR2143717 Reviewed Bahuguna, D.; Shukla, R. K. Evolution equations arising
in the study of materials with memory. Bull. Calcutta Math. Soc. 97 (2005), no. 2, 173-186. 35Q72 (34G20 34K30 47D06 47N20 74D05)
MR2140323 Reviewed Bahuguna, D.; Muslim, M. Approximation of solutions to
retarded differential equations with applications to population dynamics. J. Appl. Math. Stoch. Anal. 2005, no. 1, 1-11. 35R10 (35A35 35K20 35K55 92D25)
MR2102833 Reviewed Bahuguna, D. Existence, uniqueness, and
regularity of solutions to semilinear retarded differential equations. J. Appl. Math. Stoch. Anal. 2004, no. 3, 213-219. (Reviewer: Sergiu Aizicovici)
34K30 (34G20)
MR2100887 Reviewed Agarwal, S.; Bahuguna, D. Method of semidiscretization
in time to nonlinear retarded differential equations with nonlocal history
conditions. Int. J. Math. Math. Sci. 2004, no. 37-40, 1943-1956. (Reviewer: Józef
Banaś) 34K30 (34G20 35K90 47N20)
MR2070622 Reviewed Bahuguna, D. Existence, uniqueness and
regularity of solutions to semilinear nonlocal functional differential
problems. Nonlinear Anal. 57 (2004), no. 7-8, 1021-1028. (Reviewer: Józef
Banaś) 34K30 (34G20 47D06 47N20)
MR2048793 Reviewed Bahuguna, D.; Shukla, Reeta Method of semidiscretization
in time for quasilinear integrodifferential equations. Int. J. Math. Math. Sci. 2004, no. 9-12, 469-478. (Reviewer: Kiyoko
Furuya) 34G20 (45J05 45L05 47D06 47N20)
MR1990657 Reviewed Bahuguna, D.; Shukla, Reeta Approximations of solutions
to second order semilinear integrodifferential equations. Numer. Funct. Anal. Optim. 24 (2003), no. 3-4, 365-390. 34K30 (34A45 34G20 45J05 45N05 47D06 47N20)
MR1989583 Reviewed Bahuguna, D. Integrodifferential equations
with analytic semigroups. J. Appl. Math. Stochastic Anal. 16 (2003), no. 2, 177-189. (Reviewer: Paolo
Acquistapace) 45J05 (34G20 35B65 35K20 35K55 47D06)
MR1849564 Reviewed Bahuguna, D.; Srivastava, S. K.; Singh, S. Approximations of solutions to
semilinear integrodifferential equations. Numer. Funct. Anal. Optim. 22 (2001), no. 5-6, 487-504. (Reviewer: Nikolay Y.
Tikhonenko) 45L05 (45J05 65R20)
MR1711969 Reviewed Bahuguna, D.; Garey, L. E. Uniqueness of solutions to
integrodifferential and functional integrodifferential equations. J. Appl. Math. Stochastic Anal. 12 (1999), no. 3, 253-260. 34K05 (34K30 45J05 45N05)
MR1663624 Reviewed Bahuguna, D.; Srivastava, S. K. Semilinear
integro-differential equations with compact semigroups. J. Appl. Math. Stochastic Anal. 11 (1998), no. 4, 507-517. (Reviewer: Shu Chun Gao) 34K30 (45K05 47D06)
MR1623441 Reviewed Bahuguna, D. Regular solutions to
quasilinear integrodifferential equations in Banach spaces. Appl. Anal. 62 (1996), no. 1-2, 1-9. 45J05 (47D06)
MR1409735 Reviewed Bahuguna, D.; Srivastava, S. K. Approximation of
solutions to evolution integrodifferential equations. J. Appl. Math. Stochastic Anal. 9 (1996), no. 3, 315-322. (Reviewer: Zai-Feng Song) 45J05 (34A45 34G20 34K30)
MR1363663 Reviewed Bahuguna, D. Strongly damped semilinear
equations. J. Appl. Math. Stochastic Anal. 8 (1995), no. 4, 397-404. 34G20 (35L70 47D06)
MR1326633 Reviewed Bahuguna, D. Rothe's method to strongly
damped wave equations. Acta Appl. Math. 38 (1995), no. 2, 185-196. (Reviewer: Tie Hu Qin) 34G20 (35L70)
MR1312588 Reviewed Bahuguna, D. Quasilinear
integrodifferential equations in Banach spaces. Nonlinear Anal. 24 (1995), no. 2, 175-183. (Reviewer: G. S. Jordan) 45K05 (34K30 45N05 47N20)
MR1288499 Reviewed Bahuguna, D.; Raghavendra, V. Application of Rothe's
method to nonlinear integro-differential equations in Hilbert spaces. Nonlinear Anal. 23 (1994), no. 1, 75-81. (Reviewer: Sergiu
Aizicovici) 34K30 (45N05 47H15 47H17 47N20)
MR1030110 Reviewed Bahuguna, D. Application of Rothe's method
to semilinear hyperbolic equations. Appl. Anal. 33 (1989), no. 3-4, 233-242. (Reviewer: Mehmet Can) 34G20 (35L70)
MR1030104 Reviewed Bahuguna, D.; Raghavendra, V. Rothe's method to
parabolic integro-differential equations via abstract integro-differential
equations. Appl. Anal. 33 (1989), no. 3-4, 153-167. (Reviewer: H. R. Shen) 34G20 (45N05 47H15)
MR1017508 Reviewed Bahuguna, D.; Raghavendra, V. Application of Rothe's
method to nonlinear Schrödinger type equations. Appl. Anal. 31 (1988), no. 1-2, 149-160. (Reviewer: W. F. Ames) 35Q20
Conference
Presentations
1. D. BAHUGUNA AND R. SHUKLA:
Regular Solution to Quasilinear
Implicit Integrodifferential
Equations in Banach
Spaces,
Presented at the ‘International ‘Conference
on Current Trades in
Differential Equations and Dynamical
Systems’ Held during December
15-17, 2001 at the
Department of Mathematics, I.I.T. Kanpur.
2. D. BAHUGUNA AND R. SHUKLA:
Method of Semidiscretization
in Time to Implicit Quasilinear
Integrodifferential
Equations in Banach Space,
presented at
‘Joint 9th National Conference of The Vigyan Parishad
of India on
Applied and Industrial Mathematics and
5th Annual
Conference of Indian Society of Information
Theory And Applications’
held during
February 22-24, 2002 at the Department of
Mathematics,
School of Applied
Sciences, NSIT Delhi.
3. R. SHUKLA AND D. BAHUGUNA:
Application of Rothe
Method to Abstract Quasilinear Implicit
Integrodifferential
Equations in Reflexive Banach Space,
presented at ‘National Seminar on Recent trends in
Mathematics
and its
Applications’ held during February 25-26, 2002 at the
Department of Mathematics, Siksha-Bhavana, Visva-Bharati,
Santiniketan.
4. R. SHUKLA AND D. BAHUGUNA:
Global solutions of Abstract Inhomogeneous Quasilinear Evolution
Equations of the Hyperbolic” Type,
presented at
‘Fifth Conference of the International Academy of
Physical Sciences (CONIAPS-V, 2002)’ to be
held on April 07-09,
2002 at Department of Mathematical Sciences
and Computer
Applications, Bundelkhand University, Jhansi.
5. D. BAHUGUNA AND R. SHUKLA:
Approximations of solutions to second order semilinear
evolution
equations,
presented at “Annual Conference of the Ramanujan
Mathematical Society” held on June 10-13,
2002, at Department of
Applied Mathematics
IT-BHU, Varanasi.
6. D. BAHUGUNA:
Evolution equations with nonlocal conditions,
World Congress of Nonlinear Analysts -04, June
1-7, 2004 at Orlando,
Florida, USA.