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About Us
Administration
Academic Programme
UG
PG
PhD
Academic Calendar
Time Table
Ordinance and Regulations
Notices
Downloads
Format for UG PG and PhD Theses
Institute Funding Projects for Students
Approved List of Journals
Admissions
Student Affairs
Departments
Architecture and Planning
Bioengineering and Biotechnology
Chemical Engineering
Center for Food Engineering and Technology
Chemistry
Civil and Env Engineering
Computer Science and Engg
Centre for Quantitative Economics and Data Science
Electrical and Electronics Engg
Electronics and Communication Engg
Hotel Management and Catering Tech
Humanities and Social Science
Management
Mathematics
Mechanical Engineering
Pharmaceutical Sciences and Tech
Physics
Production and Industrial Engineering
Remote Sensing
Space Engineering and Rocketry
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Students
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My Research Work
Dr. S. Padhi
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My PhD Students
My Research Collaborators
Professional Activities in research
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Research Monographs
Editorial Activity
Conferences Workshops Seminars Attended
Research Projects Completed
Instructional Schools Organized
My M Phil and Ph D Thesis Titles
My Research Experience
Some Selected Publications
Some Selected Books for my Students
Some of my Lectures in Conferences
Some Useful Links
Lecture Notes
Contact Us
Email - spadhi@bitmesra.ac.in
Phone - +91-8292294087
Some Selected Publications
N. Parhi and Seshadev Padhi, On
asymptotic
behaviour of delay differential equations of third order,
Nonl
. Anal.: Theo. Meth. Appl., 34(1998), 391-403.
N. Parhi and Seshadev Padhi, On oscillation and asymptotic property of a class of third order differential equations, Czech. Math.J., 49(1999), 21-33.
T.Sengadir and Seshadev Padhi, Stability and asymptotic stability of neutral functional differential equations, Differential Equations and Dynamical Systems. 7(2) (1999), 239-249.
N.Parhi and Seshadev Padhi, Asymptotic behaviour of a class of third order delay differential equations, Math. Slovaca, 50(3)(2000), 315-333.
N.Parhi and Seshadev Padhi, On oscillatory linear differential equations of third order, Arch. Math., 37(3)(2001), 33-38.
N.Parhi and Seshadev Padhi, Asymptotic behaviour of solutions of delay differential equations of n-th order, Arch.Math., (BRNO), Tomus37, (2001), 81-101.
N.Parhi and Seshadev Padhi, On oscillatory linear third order differential equations, J. Indian Math. Soc., 69(1-4),(2002),113-128.
N.Parhi and Seshadev Padhi, Asymptotic behaviour of solutions of third order delay-differential equations, Indian J. Pure and Appl. Math., 33 (10) (2002), 1609-1620.
Seshadev Padhi, On strong oscillation of a class of linear differential equations of third order, Proceedings of the Conference of Joint 9
th
national conference on the Vijnana Parishad of India on applied and Industrial Mathematics and 5th Annual Conference of the Indian Society of information theory and Application, 2002, 81-85.
Seshadev Padhi, P.K.Kar and S.K.Nayak, Necessary and sufficient conditions for the solutions of
second order
neutral differential equations to be oscillatory or tending to zero, Fasc. Math. 34(2004), 73-84.
Seshadev Padhi, On oscillatory solutions of third order differential equations, Memoirs on Differential Equations and Mathematical Physics, 31(2004),109-111.
Seshadev Padhi, On oscillatory linear third
order
forced differential equations, International Journal of Differential Equations and Dynamical Systems, 13(3-4)(2005), 343-358.
Seshadev Padhi, On the asymptotic behaviour of solutions of third order delay differential equations, Georgian Mathematical Journal, 12(2) (2005), 369-376.
Seshadev Padhi, Asymptotic behaviour of solutions to n-order functional differential equations, Electronic J.Diff. equations, 65(2005),1-14.
Seshadev Padhi, Asymptotic behaviour of solutions of forced neutral differential equations, Fasciculi Mathematici, 36(2006), 7-24.
Seshadev Padhi, Oscillation and asymptotic behaviour of second order neutral partial differential equations, Functional Differential Equations, 11(2006),18-37.
Seshadev Padhi, Oscillation and Asymptotic Behaviour of Solutions of Second Order Homogeneous Neutral Differential Equations with Positive and Negative Coefficients, Functional Differential Equations, 14, No.2-3-4, (2007), 363-371.
Seshadev Padhi, Asymptotic behaviour of oscillatory solutions of n-th order differential equations, Fasc. Math. 37(2007), 49-55.
Seshadev Padhi, Oscillation and asymptotic behaviour of solutions of
second order
neutral differential equations with positive and negative coefficients, Fasc. Math., 38(2007),105-114.
Seshadev Padhi and Chuanxi Qian, On
asymptotic
behaviour of oscillatory solutions for fourth order differential equations, Electron.J.Differential Equations, 2007(2007), No.22, 1-5.
Seshadev Padhi, M.Trivedi and S.Chakraborthy, Use of computer experiments to study the qualitative behaviour of the solutions of
second order
neutral differential equations,
Interstat
, October, No.3,(2007),1-8.
Seshadev Padhi, M.Trivedi and S.Chakraborthy, A statistical approach to the study of qualitative behaviour of solutions of second-order neutral differential equations, Australian Journal of Basic and Applied Sciences, 1(4)(2007), 824-833.
Seshadev Padhi and Julio G.Dix, Oscillation of functional differential equations of n-th order with distributed deviating arguments, J. Contemporary Math., 1(1),(2008),11-24.
R.N.Rath, Seshadev Padhi and B.L.S.Barik, Oscillatory and asymptotic behaviour of a homogeneous neutral delay
difference
equation of second order, Bull. of the Institute of Mathematics, Academia Sinica, 3(3),(2008),453-467.
Seshadev Padhi and Shilpee Srivastava, Multiple periodic solutions for a nonlinear
first order
functional differential equations with applications to population dynamics, Appl. Math. Comp., 203 (2008), 1-6.
Seshadev Padhi, Chuanxi Qian and Shilpee Srivastava, Multiple periodic solutions for a
first order
nonlinear functional differential equation with applications to population dynamics, Communications in Applied Analysis, 12 (3)(2008), 341-352.
Seshadev Padhi and Shilpee Srivastava, Existence of three periodic solutions for a nonlinear
first order
functional differential equation, Journal of the Franklin Institute, 346(2009), 818-829.
Seshadev Padhi and Chuanxi Qian, Oscillation of neutral delay
difference
equations of second order with positive and negative coefficients, Mathematica Slovaca, 59(4),(2009), 455-470.
Seshadev Padhi, Smita Pati and Shilpee Srivastava, Multiple positive periodic solutions for nonlinear first order functional
difference
equations, International Journal of Dynamical Systems and Differential Equations, 2(1&2),(2009), 98-114.
Seshadev Padhi, Shilpee Srivastava and Julio G Dix, Existence of three nonnegative periodic solutions for functional differential equations and applications to Hematopoiesis, Pan American Mathematical Journal, 19(1)(2009), 27-36.
Seshadev Padhi and Smita Pati, Multiple periodic solutions for
system
of first order differential equation, Applicable Analysis, 88(7),(2009),1005-1014.
Seshadev Padhi, Shilpee Srivastava and Smita Pati, Positive periodic solutions for
first order
functional differential equations, Communications in Applied Analysis, 14(4),2010, 447-462.
Julio G.Dix, Seshadev Padhi and S.Pati, Multiple positive solutions for a nonlinear
first order
functional difference equation, Journal of Difference Equations and Applications, 16(9)(2010), 1037-1046.
Seshadev Padhi, P. D. N. Srinivasu and G. Kiran Kumar, Periodic solutions for an equation governing dynamics of a renewable resource subjected to Allee effects,
Nonl
. Anal.: Real World Applications, 11(2010), 2610-2618.
Seshadev Padhi and Smita Pati, Positive periodic solutions for a nonlinear functional differential equation, Memoirs on Differential Equations and Mathematical Physics, 51(2010),109-118.
Seshadev Padhi and M.Trivedi, Global attractivity of solutions of the Lasota-Wazeswka model, International J. of Qualitative Theory of Differential Equations and Applications, 4(2)(2010),147-154.
Seshadev Padhi, Shilpee Srivastava and Smita Pati, Three periodic solutions for a nonlinear
first order
functional differential equation, Applied Mathematics and Computation, 216(2010), 2450-2456.
Julio G.Dix and Seshadev Padhi, Existence of multiple positive periodic solutions for delay differential equation whose order is a multiple of 4, Applied Mathematics and Computation, 216(2010),2709-2717.
John R Graef, Seshadev Padhi and Shilpee Srivastava, Dynamics of a fishing model, Journal of Neural, Parallel, & Scientific Computations, 18(2010), 109-120.
Seshadev Padhi and Chuanxi Qian, On
asymptotic
property of solutions of higher order functional differential equations, Fasciculi Mathematici, 46(2011), 87-104.
Seshadev Padhi and Smita Pati, Positive periodic solutions for a nonlinear delay difference equation, PanAmerican Mathematical Journal, 21(1), (2011), 37-47.
John R.Graef, Seshadev Padhi and Smita Pati, Periodic solutions of some models with strong Allee effects, Nonlinear Analysis: Real World Applications, 13(2012), 569-581.
Seshadev Padhi and Smita Pati, Multiple positive periodic solutions for nonlinear first order functional
difference
equations, Communications in Applied Analysis, 16(1), (2012), 97-112.
John R. Graef, Seshadev Padhi, Smita Pati and P.K. Kar, Positive solutions of differential equations with unbounded Green's kernel, Applicable Analysis and Discrete Mathematics, 6(2012),159-173.
Seshadev Padhi and Chuanxi Qian, Global attractivity in a higher order nonlinear difference equation, Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 19(1) (2012), 95-106.
John R. Graef, Seshadev Padhi and Smita Pati, Multiple positive periodic solutions of first order ordinary differential equations with unbounded Green's kernel, Communications in Applied Analysis, 17, no.3 and 4(2013), 319-330.
John R. Graef, Seshadev Padhi and Smita Pati, Existence and nonexistence of multiple positive periodic solutions of first order differential equations with unbounded Green's kernel, PanAmerican Mathematical Journal, 23(1), (2013), 45 -55.
Seshadev Padhi and P.K. Kar, Existence of multiple positive periodic solutions of state-dependent delay differential equations with applications to population dynamics, Functional Differential equations, 23(2013), 21-35.
Seshadev Padhi, John R. Graef, S.Pati and P.K.Kar, Periodic solutions of a single species renewable resources under periodic habitat fluctuations with harvesting and Allee effect, Communications on Applied Nonlinear Analysis, 20 (2013), 1-16.
Smita Pati, Seshadev Padhi and E.Thandapani, Multiple periodic solutions for Some difference equations subjected to Allee effects, Dynamic Systems and Applications, 23(2014), 351-374.
Seshadev Padhi, Julio G.Dix and Smita Pati, Global attractivity of solutions of first-order delay differential equations with applications in population dynamics, Dynamic Systems and Applications, 23(2014), 375-390.
Seshadev Padhi, Smita Pati and Ranjan Kumar; Positive Periodic Solutions of Nicholson's Blowflies Model with Harvesting, PanAmerican Mathematical Journal, Vol. 24, no.3(2014) 15-26.
Seshadev Padhi and Smita Pati, Stability of solutions of an equation governing dynamics of a renewable resource subject to additive Allee effect, Applied Mathematics and Computation, 247(2014), 631-638.
Seshadev Padhi and Smita Pati, Multiple Positive Periodic Solutions for a Nonlinear
First Order
Functional Difference Equation with Application to Hematopoiesis Model, Communications in Applied Analysis, Vol. 19, no.2(2015), 319-328.
Seshadev Padhi, Smita Pati and D.K.Hota, Existence of positive solutions of boundary value problem with nonlinear nonlocal boundary conditions, Opuscula Mathematica, Vol.36, no. 1 (2016), 69--79.
Seshadev Padhi, Smita Pati and P.D.N. Srinivasu, Positive solutions of
first order
boundary value problems with nonlinear nonlocal boundary conditions and application to Hematopoiesis, Functional Differential Equations, 23(1-2), 2016, 43-55.
P.D.N. Srinivasu, Seshadev Padhi and Simon
Derkee
Zawka, Global
behavior
of solutions for periodic differential equations involving polynomial factors with applications to population dynamics, Functional Differential Equations, 23(3-4)(2016), 153-174.
Smita Pati and Seshadev Padhi, Positive solutions of
first order
boundary value problems with nonlinear nonlocal boundary conditions, Turkish Journal of Mathematics, 41(2017), 350-360.
Smita Pati, Seshadev
Padhi and
P.D.N. Srinivasu, Conditions for
existence
of positive solutions of
first order
boundary value problems with delay
and nonlinear
nonlocal boundary conditions and application to Hematopoiesis, Communications in Applied Analysis, 21(1)(2017), 39-55.
Smita Pati, Seshadev
Padhi and
VijayaLakshmi
Saraju, Dynamics of Periodic Nicholson's Blowflies Model with Delay and Harvesting, Functional Differential Equations, 24(1-2)(2017) 45-55.
Seshadev Padhi and Smita Pati, Positive solutions of a fractional differential equation with nonlinear Riemann-Stieltjes type boundary conditions, PanAmerican Mathematical Journal, 27(4)(2017), 100-107.
Seshadev Padhi, P.K.Kar and Smita Pati, Positive periodic solutions of a coupled functional differential system with two parameters, Functional Differential Equations, 24(3 and 4) (2017), 87-93.
Seshadev Padhi, John R. Graef and Smita Pati, Multiple positive solutions for a boundary value problem with nonlinear nonlocal Riemann-Stieltjes integral boundary conditions, Frac. Calc. Appl. Anal. 21(3)(2018), 716-745.
Jaffar Ali and Seshadev Padhi, Existence of multiple positive radial solutions to elliptic equations in an annulus, Communications in Applied Analysis, 22(4)(2018), 695-710.
Seshadev Padhi, B.S.R.V. Prasad, Satyam Narayan Srivastava and Shasanka Dev Bhuyan, Monotone iterative method for solutions of fractional differential equations, Memoires on Differential Equations and Mathematical Physics, 77(2019), 59-69.
Seshadev Padhi, John R. Graef and Ankur Kanaujiya, Positive solutions to nonlinear elliptic equations depending on a parameter with Dirichlet boundary conditions, Differential equations and Dynamical Systems, Online first Article, (2019), https://doi.org/10.1007/s12591-019-00481-z.
Smita Pati, John R.Graef and Seshadev Padhi, Positive periodic solutions to a system of nonlinear differential equations with applications to Lotka-Volterra-type Ecological models with discrete and distrubuted delays, J. Fixed Point Theory and Applications, (2019), 21:80, https://doi.org/10.1007/s11784-019-0715-x.
Seshadev Padhi, B.S.R.V.Prasad and Divya Mahendru, System of Riemann-Liouville fractional differential equations with nonlocal boundary conditions - Existence, uniqueness and multiplicity of solutions, Mathematical Methods in the Applied Sciences (2019), https://doi.org.10.1002/mma.5812.
Seshadev Padhi, B.S.R.V.Prasad and Divya Mahendru, System of Riemann-Liouville fractional differential equations with nonlocal boundary conditions -Method of fixed point index, Mathematical Methods in the Applied Sciences,(2019) https://doi.org.10.1002/mma.5931
.
Seshadev Padhi and Smita Pati, Entire large positive radial symmetry solutions for combined semilinear elliptic sysetm, Accepted for publication in Turkish Journal of Mathematics (2020).
Seshadev Padhi, John R. Graef, Smita Pati and Jaffar Ali, Existence, uniqueness and positive solutions for a nonlinear fractional differential equation Riemann-Liouville derivative, Comm. Appl. Nonl. Anal. 27(3), (2020), 58-74.
Seshadev Padhi, Jaffar Ali and John R. Graef, Positive solutions to a derivative dependent p-Laplacian equation with Riemann-Stieltjes integral boundary conditionss, Annals of Communications in Mathematics, 3(1), (2020), 7-25.
Seshadev Padhi and B. S. R. V. Prasad, Monotone iterative method for solutions of a Cantilever Beam equation with one free end, Advances in Nonlinear Variational Inequalities, 23(2), (2020), 15-22.
Seshadev Padhi, A note on the Eigenvalue criteria for positive solutions of a Cantilever Beam equation with free end, Accepted for publication in Bull. Iranian Math. Soc. (2020).
Divya Mahendru and Seshadev Padhi, Positive solutions of Riemann-Liouville fractional differential equations with nonlocal boundary conditions, Advances in Nonlinear Variational Inequalities, 24(1), (2021), 59-72.
Seshadev Padhi, Jaffar Ali and Ankur Kanaujiya, Positive solutions for a $p$-Laplacian equation with Riemann-Stieltjes integral boundary conditions, Communicated OM (2019).
Seshadev Padhi, Jaffar Ali Shahul Hameed and B.S.R.V.Prasad, Positive solutions for a derivative dependent $p$-Laplacian equation with Riemann-Stieltjes integral boundary conditions, PRSE (2019).