Birla Institute of Technology, Mesra
Faculty Image

Dr. S. Padhi

Joined Institute on : 7-Jan-2004

  • Professor
  • Mathematics
  • M.Sc, M.Phil, Ph.D
Contact Address

Department of Mathematics Birla Institute of Technology Mesra, Ranchi-835215, India

S/O Sri Bansidhar Padhi Gopal Nagar, Near Gunupur College, Gunupur-765022, Dist. Rayagada, Odisha, India

  • Phone Office - +91-651-2275444-4802(Extn)
  • Phone Residence - 9430149047, 8292294087, +91-651-2275444-4773(Extn)
  • Email - spadhi@bitmesra.ac.in
Work Experience

Teaching : 19 Years

Research : 24 Years
Professional Background

Working as a reviewer of Mathematical Review, the largest mathematical research database, monitored by  American Mathematical Society, Providence Rhode Island, USA.

Working as a reviewer of Zentralblatt Math., the largest mathematical research database, published by Europian mathematical society, Slovakia.

Working as a reviewer of the following International Journals of repute:

1. Applied Mathematics and Computation (Sciencedirect)

2.  Computers and Mathematics with Applications (Sciencedirect)

3.  Journal of Mathematical Analysis and Applications (Sciencedirect)

4. Dynamical Systems with Applications (Dynamic Publishers, Atlanta)

5. Mathematics Computers and Modeling (Sciencedirect)

6.  Electronic Journal of Differential Equations (Texas State University, San Marcos, Texas,USA

7. Electronic Journal of Qualitative Theory of Differential Equations (Bolyai Institute, Hungary)

8. International Journal of Mathematical Modelling, Simulation and Applications (I.K.International, New Delhi),

9. Australian and New Zealand Journal of Industrial and Applied Mathematics(The New Zealand Mathematical Society),

10. Nonlinear Analysis; Theory Methods and Applications (Sciencedirect),

11. Differential Equations and Dynamical Systems, An Int.J(Springer)

12. Central European J. Mathematics (Springer)

13. Mathematica Slovaca (Springer)

14. Czechoslovak Math. Journal (Springer)

15. The Open Applied Mathematics Journal(Bentham Science

        Publication)

16. Applied Mathematics Letters (Sciencedirect)

17.  Journal of the Franklyn Institute (Sciencedirect)

 
Research Areas
  • Existence Theory of Differential Equations and Difference  Equations,
  • Qualitative Theory of Nonautonomous Differential Equations and Difference Equations: Oscillation Theory, Nonoscillation Theory and Stability of Solutions.
  • Global Attractivity and  Periodic Solutions of Equations in Population Dynamics.
  • Boundary Value Problems,
  • Fractional Differential Equations,
  • Elliptic Equations
Award and Honours

 1.  Best Researcher Award from Berhampur University, January 1999. (Received  a cash prize of Rs.3000/- from Berhampur University for outstanding research in Mathematics in 1999, on the foundation dat of Berhampur University.)

 

 2. BOYSCAST Fellowship from the Department of Science and  Technology, Govt. of India, 2004,  to promote research activity in an Overseas institution.  Under this programme, I  worked in the Department of Mathematics and Statistics, Mississippi State University,  Mississippi State, USA from 23rd March 2005 to 27th May 2006.

 
Publications

Some Selected Publications:

  1. N. Parhi and Seshadev Padhi, On asymptotic behaviour of delay differential equations of third order, Nonl. Anal.: Theo. Meth. Appl., 34(1998), 391-403. 
  2. 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.
  3. T.Sengadir and  Seshadev Padhi,  Stability and asymptotic stability of neutral functional differential equations,  Differential Equations and Dynamical Systems. 7(2) (1999), 239-249.
  4. N.Parhi and Seshadev Padhi,  Asymptotic behaviour of a class of third order delay differential equations,  Math. Slovaca, 50(3)(2000), 315-333.
  5. N.Parhi and Seshadev Padhi,  On oscillatory linear differential equations of third order,  Arch. Math.,  37(3)(2001), 33-38.
  6. N.Parhi and Seshadev Padhi,  Asymptotic behaviour of solutions of delay differential equations of n-th order, Arch.Math.,  (BRNO), Tomus37, (2001), 81-101.
  7. N.Parhi and Seshadev Padhi,   On oscillatory linear third order differential equations, J. Indian Math. Soc.,  69(1-4),(2002),113-128.
  8. 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.
  9.  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.
  10. 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.
  11.  Seshadev Padhi,  On oscillatory solutions of third order differential equations, Memoirs on Differential Equations and Mathematical Physics, 31(2004),109-111.
  12. Seshadev Padhi,  On oscillatory linear third order forced differential equations, International Journal of Differential Equations and Dynamical Systems, 13(3-4)(2005), 343-358.
  13.  Seshadev Padhi,  On the asymptotic behaviour of solutions of third order delay differential equations, Georgian Mathematical Journal, 12(2) (2005),  369-376.
  14. Seshadev Padhi,  Asymptotic behaviour of solutions to n-order functional differential equations, Electronic J.Diff. equations, 65(2005),1-14.
  15. Seshadev Padhi,  Asymptotic behaviour of solutions of forced neutral differential equations, Fasciculi Mathematici, 36(2006), 7-24.
  16. Seshadev Padhi,  Oscillation and asymptotic behaviour of second order neutral partial differential equations, Functional Differential Equations, 11(2006),18-37.
  17. 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.
  18. Seshadev Padhi,  Asymptotic behaviour of oscillatory solutions of n-th order differential equations, Fasc. Math. 37(2007), 49-55.
  19. 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.
  20. 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.
  21. 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.
  22.  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.
  23. 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.
  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.
  25. 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.
  26. 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.
  27. 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.
  28. 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.
  29. 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.
  30. 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.
  31. Seshadev Padhi and  Smita Pati,  Multiple periodic solutions for system of first order differential equation, Applicable Analysis,  88(7),(2009),1005-1014.
  32. 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.
  33. 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.
  34. 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.
  35. 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.
  36. 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.
  37. 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.
  38. 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.
  39. John R Graef, Seshadev Padhi and  Shilpee Srivastava,  Dynamics of a  fishing model, Journal of Neural, Parallel, & Scientific Computations, 18(2010), 109-120.
  40. Seshadev Padhi and Chuanxi Qian,  On asymptotic property of solutions of higher order functional differential equations, Fasciculi Mathematici, 46(2011), 87-104.
  41. Seshadev Padhi and  Smita Pati,  Positive periodic solutions for a nonlinear delay difference equation, PanAmerican Mathematical Journal, 21(1), (2011), 37-47.
  42. 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.
  43. 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.
  44. 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.
  45. 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.
  46. 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.
  47. 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.
  48.  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.
  49. 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.
  50. 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.
  51. 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.
  52. 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.
  53. 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.
  54. 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.
  55. 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.
  56. 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.
  57. 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.
  58. 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.
  59. 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.
  60. 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.
  61. 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.
  62. 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.
  63. 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.
  64. 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.
  65. 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.  
  66. 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.
  67. 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.
  68. 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).

  69. eshadev 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. 

  70. Seshadev Padhi and Smita Pati, Entire large positive radial symmetry solutions for combined semilinear elliptic system,   Turkish Journal of Mathematics, Vol. 44: No. 6,  (2020),  2155 – 2165.  https://doi.org/10. 3906/mat-1806-14

  71. 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.

  72. 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.

  73. 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.

  74. 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.  Vol. 47 (5)(2021)1437-1451.

  75. 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.

  76. Seshadev Padhi, Jaffar Ali and Ankur Kanaujiya and Jugal Mohapatra, Existence of positive solutions for a p-Laplacian equation with applications to Hematopoiesis, Journal of Mathematical Modeling, 10(2)(2022),  191-201.  DOI:  10.22124/JMM. 2021.19445.1670.

  77. Seshadev Padhi and John R. Graef, Positive solutions of a fourth-order differential equation with integral boundary conditions, Mathematica Bohemica, Published Online December 15, 2022, doi: 10.21136/MB.2022. 0045-22.

  78. Alexander Domoshnitsky, Seshadev Padhi, Satyam Narayan Srivastava,  Vall\'{e}e-Poussin theorem for fractional functional differential equations,  Fract Calc Appl Anal., 25(4)(2022), 1630–1650. doi: 10.1007/s13540-022-00061-z.

  79. Alexander Domoshnitsky,  Satyam Narayan Srivastava and Seshadev Padhi, Existence of solutions for a higher order
        Riemann–Liouville fractional differential equation by Mawhin’s coincidence degree theory,  Math Methods Appl Sci. 46(11) (2023) 12018-12034. https://doi.org/10.1002/mma.9005

  80. Satyam Narayan Srivastava, Alexander Domoshnitsky, Seshadev Padhi and  V. Raichik, Unique solvability of fractional functional differential equation on the basis of Vall\'{e}e-Poussin theorem. Arch Math (Brno),  59(1)(2023), 117–123.

  81. Satyam narayan Srivastava, Smita Pati,  Seshadev Padhi and  Alexander  Domoshnitsky, Lyapunov inequality for a Caputo fractional differential equation with Riemann-Stieltjes integral boundary conditions,  Math Methods Appl Sci. 46(12) (2023). 13110-13123. https://doi.org/10. 1002/mma.9238.

  82. Seshadev Padhi and Julio G. Dix, Existence of positive global radial solutions to nonlinear elliptic systems, Special Issue in honor of John W. Neuberger. Electron. J. Diff. Eqns., Special Issue 02 (2023), pp. 231-238.

  83. Martin Bohner, Alexander Domoshnitsky, Seshadev Padhi and Satyam Narayan Srivastava, Vall\'{e}e-Poussin theorem for equations with Caputo fractional derivative,  Math Slovaca, 73(3)(2023), 713-728.

  84. Satyam Narayan  Srivastava, Seshadev Padhi, and Alexander Domoshnitsky, Domoshnitsky, Periodic solution of a bioeconomic fishery model by coincidence degree theory,  Electron. J. Qual. Theory Differ. Equ., No. 29( 2023), 1-12. 

  85. L. Dathan, Anjali and S. Padhi,  Existence and Uniqueness of   Periodic Solutions of a Bioeconomic Model of Fishery  Dynamics,  Functional Differential equations, 30(1--2), (2023), 39--52. 

  86. Martin Bohner, Alexander Domoshnitsky, E. Litsyn, Seshadev Padhi and Satyam Narayan  Srivastava,  Vall\'{e}e-Poussin theorem for Hadamard fractional functional differential equations,    Applied Mathematics in Science and Engineering, 31(1) (2023), 2259057.  https://doi.org/10.1080/ 27690911.2023.2259057.

  87. Martin Bohner, Alexander Domoshnitsky,  Seshadev Padhi and Satyam Narayan  Srivastava,  Existence of Solutions by Coincidence degree theory for Hadamard fractional differential equations at resonance, Turkish Journal of Mathematics: Vol. 48: No. 2,, (2024), 296-306.

  88. Nishit Mohan and Seshadev Padhi, Global bifurcation in a di?usive Beddington-DeAngelis predator-prey model with population ?ux by attractive transition, Physica Scripta, 99(7), 075221, (2024).

  89. Satyam Narayan  Srivastava, Smita Pati, John R. Graef, Alexander Domoshnitsky and  Seshadev Padhi,  Existence of solution for a Katugampola fractional differential equation using coincidence degree theory,  Med- iterr. J. Math. 21, 123 (2024).

  90. Alexander Domoshnitsky, Seshadev Padhi and Satyam Narayan Srivastava, Vall\'{e}e-Poussin theorem for fractional functional differential equations with integral boundary condition, Indian J Pure Appl Math (2024). https://doi.org/10.1007/s13226-024-00621-4

  91. Satyam Narayan Srivastava, Smita Pati, John R. Graef, Alexander Domoshnitsky and Seshadev Padhi, Lyapunov-type inequalities for higher order Caputo fractional differential equations with general two-point boundary conditions,  Cubo, 26(2), 2024) 259-277.

  92. Satyam Narayan Srivastava, Rajarshi Dey, Alexander Domoshnitsky and Seshadev Padhi,  Existence of solutions for higher order nonlinear Caputo fractional differential equation with nonlinear growth, Differential Equations \& Applications Vol. 16, No. 3 (2024), 199–213.

  93. Satyam Narayan Srivastava, Smita Pati, Alexander Domoshnitsky, Seshadev Padhi, Existence of Solution for a Hilfer Fractional Differential Equation Using Coincidence Degree Theory. The Journal of the Indian Mathematical Society, 92(3), 397–408, 2025

  94. Seshadev Padhi, Positive solutions of a fourth order Centilever beam equation Accepted for publication in  Functional Differential Equations (2023). 

  95.  Alexander Domoshnitsky, Oleg Kupervasser, Seshadev Padhi and Satyam Narayan
        Srivastava, Vall\'{e}e-Poussin theorem for Katugampola fractional functional differential equations (Accepted for publication in Miskolc Mathematical Notes).

  96.  Satyam Narayan Srivastava, Alexander Domoshnitsky, Seshadev Padhi, Rana D. Parshad, John R. Graef, Existence of periodic solution of a non-autonomous allelopathic phytoplankton model with fear effect,Electronic Research Archive, 34(2) (2026), 723-737. doi: 10.3934/era.2026033
        

 

Seminars/Conferences/Workshops Attended:

The followings are some conferences/Seminars/Symposiums/ Workshops I have attended. 

  1. Summer school on  Descriptive Set Theory and Applications, from May29-June 16,1995 at ISI, Calcutta.
  2. Workshop on Schrodinger Operators and Applications, from December 4-14,1995 at IMSc. Madras and presented a paper.
  3. 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".
  4. 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.
  5. 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.
  6. 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.
  7. International Instructional Workshop on Wavelets and Applications, August 16-27, 1999 at Department of Mathematics, University of  Delhi, Delhi-110 007.
  8. 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.
  9. 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.
  10. 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.
  11. 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. 
  12. Presented a paper in International Conference on Special Functions, 2002 held in Institute of Mathematical Sciences, Chennai from 23-27 September 2002.
  13. 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.
  14. Participated in International workshop in Lie theory, ETH, Zurich, Switzerland from 27th June 2005 to 6th July 2005.
  15. Participated in International workshop in Lie theory, University of Geneva, Geneva, Switzerland from 27th June 2005 to 6th July 2005.
  16. 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.
  17. 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. 
  18. 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.
  19. 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.
  20. 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.
  21. 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. 
  22. 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.
  23. 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.
  24. Delivered a talk in the  International Conference on Mathematics of Date, December 331, 2010 to January 04, 2011, Allahabad, India.
  25. 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.
  26. 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.
  27. 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.
  28. 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.
  29. 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.
  30. 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.
  31. 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.
  32. 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.
  33. 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.
  34. 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.
  35. 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.
  36. 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.
  37. 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.
  38. 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.
  39. 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.
  40. 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.
  41. 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.
  42. 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.
  43. Delivered one hour invited talk on the Population Dynamics on Faculty Development Programme on 8th August 2018 at Amity University, Ranchi.
  44. Delivered one hour invited talk on the Difference Equations in Real World Phenomena  on Faculty Development Programme on 2nd May 2019 at Amity University, Ranchi, India.
  45. Delivered one hour invited talk on the Renewable Resource Energy  on Faculty Development Programme on 10th  May 2019 at Amity University, Ranchi, India.
  46. Delivered an invited talk on ``Positive periodic solutions a model arising in  Ecological Systems "  in ``The 8th International Conference on Functional  Differential Equations and Applications", September  22-26, 2019, Ariel University, Israel.
  47. Delivered one hour talk  on ``Positive solutions of Models with Allee effects" in 50th Annual Conference of Orissa Mathematical Society during February 15-16, 2020, held at NIST, Berhampur, Odisha. 
  48. Delivered one hour talk  on ``Positive solutions of Operator equations" in  National Seminar on “Scope of Mathematics in Data Science”, and the “48th Annual Conference of Odisha Mathematical Society” during 10th and 11th April 2021. 
  49. Delivered one hour talk ``Positive Solutions of Operator Equations" in the Drakhlin’s Seminar on Functional Differential equations, on March 24, 2021.
  50. Delivered half an hour invited talk on ``Applications of Eigen Value Problems on a Cantilever Beam Equation"  International Conference Petrovskii Conference on Differential Equations, organized by Moscow Lomonosov State University, - 24th Meeting,  29-30 December 2021.
  51. Delivered one hour talk ``Existence of positive solutions of general Hemmerstein integral equations" in the Drakhlin’s Seminar on Functional Differential equations, on February 08, 2023.
        Recording of my talk:      https://shorturl.at/RNjtp
  52. Delivered an invited talk ``Lyapunov-Type inequalities for fractional differential equations"  at the International Meet on "Computational Mathematics and Applications" 52 Annual Conference of Odisha Mathematical Society,  Institute of Mathematics and Applications, Bhubaneswar, Odisha, India,  January 11-12, 2025.
  53. Delivered one hour plenary talk on "Vall\'{e}e-Poussin theorem for fractional differential equations" on International Conference on Advances in Mathematical Sciences" (ICAMS-2025) at Mahatma Gandhi Central University, Motihari, March 08-09, 2025.
  54. Delivered an invited talk on ``Advancements on Lyapunov-Type inequalities for fractional differential equations and Applications"  the International Conference on Mathematics and Statistics in the Era of Data Science (ICMSDS- 2025) at Department of Mathematics, Central University of Jharkhand  and Department of Statistics, Central University of Jharkhand,  in Association with Jharkhand Society of Mathematical Sciences (JSMS), Ranchi, Jharkhand, March 18-20, 2025.
  55. Delivered an invited talk on ``Predator prey model with prey harvesting and intraspecific predator competition: spatial--temporal pattern formation via cross-diffusion and periodic dynamics under non-autonomous factors" at the Department of Mathematics, Ariel University, Israel on September 28, 2025. This lecture was organised by Prof. Alexander Domoshnitsky and Ariel University on  an  invitation in the  frame of International Collaboration under  the  grant with Ministry of Innovation, Science and Technology of the State of Israel.
  56. Delivered a one hour talk on the topic ``Lyapunov-Type Inequalities for Fractional Differential Equations" in the  Drakhlin’s Seminar on Functional Differential equations, on October 08, 2025.
Member of Professional Bodies

1. Working as an International  Scientific Committee member of  "International Arab Conference on Mathematics and Computations",  April 24-26, 2019. The conference website is http://iacmc.zu.edu.jo/eng/?

2. Working as an International  Scientific Committee member of  "7th International Conference on Functional Differential Equations",  April 24-26, 2019, at Ariel University, Israel. Details of the conference can be found in https://olympnonreg.wixsite.com/equations2019 and http://www.ariel.ac.il/projects/math/2019/
Text and Reference Books

Books/Monographs Published:
1. Seshadev Padhi and Smita Pati:  Theory of Third Order Differential Equations, Research Monograph,  Springer India, 2013.
 ISBN 978-81-322-1613-1
 ISBN 978-81-322-1614-8 (eBook)
DOI 10.1007/978-81-322-1614-8
Springer New Delhi Heidelberg New York Dordrecht London.


 2. Seshadev Padhi,  John R. Graef and P.D.N.Srinivasu: Periodic Solutions of First Order Functional Differential Equations in Population Dynamics, Springer-Verlag.}
      ISBN 978-81-322-1895-1 (eBook)
      ISBN 978-81-322-1894-4
 
Fellow
Member, Editorial Board

1.  Guest Editor for the proceedings of "International Arab Conference on Mathematics and Computations",  April 24-26, 2019.  The proposal has been accepted by Springer Nature. The title of the book is "Communications in Mathematical Computations and Applications".  The other  Guest Editors are    Dia Zeidan, German Jordanian University, Jordan ,  Aliaa Burqan, Zarqa University, Jordan and  Peer Ueberholz, Niederrhein University of Applied Sciences, Germany

 

2.  Guest Editor for the proceedings of "Functional Differential equations and Applications 2019", September 22-27, 2019. The title of the book is "Proceedings on Functional Differential equations and Applications 2019". The proposal has been accepted by Springer Nature. The other Guest Editor is   Prof. Alexander Domoshnitsky