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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 9th 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).
- 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), Under Revision.
- Seshadev Padhi and Smita Pati, Entire large positive radial symmetry solutions for combined semilinear elliptic sysetm, Turkish Journal of Mathematics (2019), Under Revision.
- Seshadev Padhi and B. S. R. V. Prasad, Monotone iterative method for solutions of a Cantilever Beam equation with one free end, Communicated PAMJ (2019).
- 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).
Seminars/Conferences/Workshops Attended:
The followings are some conferences/Seminars/Symposiums/ Workshops I have attended.
- Summer school on Descriptive Set Theory and Applications, from May29-June 16,1995 at ISI, Calcutta.
- Workshop on Schrodinger Operators and Applications, from December 4-14,1995 at IMSc. Madras and presented a paper.
- Third International Symposium on Nonlinear Analysis and Applications to Biomathematics, at Department of Mathematics, Andhra University, Vishakhapatnam, A.P from 11-15, August 1997 and presented a paper on "Third-order delay differential equations".
- Visited Department of Mathematics, IISc., Bangalore from 1-21Sept.1997 under the IISc-TIFR short term visitors programmer to work in collaboration with Dr. T. Sengadir and the work has appeared in the journal Differential Equations and Dynamical Systems,7(2) (1999), 239-249.
- 13th annual Ramanujan Mathematical Society conference, at Theruneliveli from 4-6 June 1998 and presented a paper on On oscillatory third order linear differential equations.
- National conference on mathematical modeling of biological, ecological and environment systems, held on March 26- 28 , 1999 at the Department of Mathematics, Jadavpur University, Calcutta -700032 and presented a paper on On Third Order Delay Differential Equations.
- International Instructional Workshop on Wavelets and Applications, August 16-27, 1999 at Department of Mathematics, University of Delhi, Delhi-110 007.
- Delivered one hour lecture in the National Conference on Recent Developments in Mathematics, from Feb.1-3, 2000 in the Department of Mathematics, Burdwan University, Burdwan , W.B. India.
- Joint 9th 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, at the Department of Mathematics, Netaji Subhas Institute of Technology, Delhi, from Feb.22-24, 2002 and presented a paper.
- Participated in the short term course on Modern Mathematical Techniques for Computer Science, Communication and I.T offered by the Department of Mathematics, IIT, Kharagpur during 20 - 31 May 2002.
- Participated in the international workshop on Mathematica software packages on Hyp and Hypq, held in Institute of Mathematical Sciences, Chennai from 16-20 September 2002.
- Presented a paper in International Conference on Special Functions, 2002 held in Institute of Mathematical Sciences, Chennai from 23-27 September 2002.
- Participated in Course on Climate Variability Studies in the Ocean, Tracing and Modelling the Ocean Variability, 16-27 June 2003, held in International Center for Theoretical Physics, Trieste, Italy.
- Participated in International workshop in Lie theory, ETH, Zurich, Switzerland from 27th June 2005 to 6th July 2005.
- Participated in International workshop in Lie theory, University of Geneva, Geneva, Switzerland from 27th June 2005 to 6th July 2005.
- Participated in the Sixth Mississippi state-UAB conference on Differential equations and Computational Simulations, Department of Mathematics and Statistics, Mississippi State University, MS State, USA, May 13-14, 2005.
- Delivered one hour lecture on the strong oscillation of solutions of a class of third order ordinary differential equations in the Department of Mathematics and Statistics, Mississippi State University, MSState, USA on November 02, 2005.
- Participated in 2006 CNA Summer School - Probabilistic and Analytical Prospectives on Contemporary PDEs in Department of Mathematics, Carnegie Mellon University, Pittsburgh, the USA from May 29-June 6, 2006.
- Delivered an invited lecture on the topic entitled On the asymptotic behaviour of solutions of third order delay differential equations in the 8-th Colloquium on Qualitative Theory of Differential Equations, Bolyai Institute, Department of Mathematics, University of Szeged, Hungary, 25-28 June 2007. This has been funded by National Board for Higher Mathematics, Department of Atomic Energy, Government of India, Mumbai-400 001.
- Delivered a lecture on the topic entitled On the asymptotic behaviour of solutions of third order delay differential equations in the Seminar on Differential Equations in the Institute of Mathematics, Budapest University of Technology, Budapest, Hungary, from 29-30 June 2007.
- Delivered one hour lecture on the existence of periodic solutions of first-order functional differential equations with applications in population dynamics on 20th January, Ranchi University, India on the occasion of Mathematics day.
- Delivered one lecture on the existence of periodic solutions of first-order dynamic equations on time scales on June 11, 2009 as a speaker at the University of Wyoming, Laramie, Wyoming, U.S.A, on the RMMC Conference on Recent Development on Time Scales, June 09-19, 2009. Travel grant supported by National Board for Higher Mathematics, Govt. of India, Mumbai-400 001.
- Delivered one hour lecture on the strong oscillation of solutions of a class of third order ordinary differential equations in the Department of Mathematics, Texas State University at San Marcos, San Marcos, USA on June 25, 2009. The Travel grant supported by National Board for Higher Mathematics, Govt. of India, Mumbai-400 001.
- Delivered a talk in the International Conference on Mathematics of Date, December 331, 2010 to January 04, 2011, Allahabad, India.
- Delivered an invited talk entitled \emph{``Periodic Solutions of Functional Differential Equations" in National Conference on Recent Trends in Mathematical Analysis and Applications, December 22-23,2010, at Berhampur University, Orissa.
- Delivered a 30 minutes special lecture on the \emph{National Seminar on Differential Equations and Their Applications, February 10-11, 2011 at K.K.College, Velur, India.
- Delivered an Invited talk on the Existence of Solutions of functional differential Equations in Sixth International Conference on Dynamical Systems with Applications, 25-28 May 2011 at Moorehouse College, Atlanta, USA.
- Delivered an Invited on the Theory of Third Order Differential Equations on 30th June 2011 in the International meet of mathematicians in the Department of Mathematics, the University of Tennessee at Chattanooga, Tennessee, USA.
- Delivered a contributed talk on Global attractivity of first order delay differential equations with applications to population dynamics, 9th Colloquium on Qualitative Theory of Differential Equations, June 28 to July 01, 2011 in the Bolyai Institute, University of Szeged, Szeged, Hungary.
- Delivered an Invited Lecture on Oscillation Theory of Third Order Differential Equations, February 06, 2012 in Jharkhand Mathematical Society Mathematics day, St. Xavier's College, Ranchi.
- Delivered an Invited Lecture on the Oscillation of Solutions of Differential Equations,18-20 January 2012, International Conference on Nonlinear Functional Analysis, Institute of Mathematical Sciences, Chennai.
- Delivered one hour Invited talk on the Global attractivity of solutions of first-order delay differential equations in population dynamics, July 21-22, 2012 in the International Conference on Mathematical Analysis and Applications, Department of Mathematics, Berhampur University, Berhampur, India.
- Delivered an Invited Lecture on the Oscillation of Third-order Differential Equation, October 29-31,2012, 17th Ramanujan Symposium on Mathematical Analysis and Applications, Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, India.
- Delivered one hour Invited talk on the Global attractivity of solutions of first-order delay differential equations in population dynamics, March 15-16, 2013 in the International Conference on New Trends in Differential and Difference Equations, Department of Mathematics, the University of Tennessee at Chattanooga, Chattanooga, Tennessee, USA.
- Delivered two different Invited talk entitled Oscillation of Third Order Differential Equations and Global attractivity of first-order differential equations in National Conference on Emerging Trends and Applications of Mathematics to Science and Technology, August 6 - 7, 2013 at P. G. Sacred Heart College, Tirupattur, India.
- Delivered an invited talk on the Global attractivity of solutions of first-order functional differential equations in the 18th Ramanujan Symposium on Recent Trends in Dynamical Systems and Mathematical Modelling, September 25-27, 2013 at the Ramanujan Institute for Advanced Studies in Mathematics, University of Madras, Chennai, India.
- Delivered an invited talk on the Third Order Linear Differential Equations: From Algebra to Analysis, February 08-09, 2014 in the 1st Seminar of Jharkhand Society of Mathematical Sciences, held at Central University of Jharkhand, Ranchi, India.
- Delivered one invited talk on Positive Solutions of First Order Boundary Value Problems with Riemann Stiletjes Boundary Conditions in The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, July 01-05, 2016, Orlando, USA.
- Delivered an invited talk on Positive Solutions of First Order Boundary Value Problems with Riemann Stiletjes Boundary Conditions in The 7th International Conference on Functional Differential Equations and Applications, August 22-26, 2017, Ariel University, Israel.
- Delivered an invited talk on Dynamics of Models with Allee Effects in The 2nd joint meeting of Czech-Israeli Conference on Functional Differential Equations and Application, August 27, 2017, Ariel University, Israel.
- Delivered an invited talk on A short course on the Fixed Point Index of ODEs in The Ramanujan Day Seminar, December 22, 2017, Vinoba Bhave University, Hazaribagh, India.
- Delivered Prof. Ramanath Mohanty memorial lecture on Applications of Fixed Point Index in Qualitative Study of Solutions of ODEs in 48th Annual Conference of Orissa Mathematical Society during February 04-05, 2018, held at Berhampur, Odisha. I was felicitated in the conference.
- Delivered one hour invited talk on the Population Dynamics on Faculty Development Programme on 8th August 2018 at Amity University, Ranchi.
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