Date of Joining: 17/07/2013

Biography

With a specialization in Difference Equations, Dr. Dilip has made significant contributions to the field through his extensive research endeavors. His passion for exploring the intricacies of this branch of mathematics has led to the publication of several impactful research articles.

Awards/ Appreciations

1. Research Guide, University of Kerala.

2. Successfully Guided 4 Ph.D Scholars.

3. Member, Board of Studies, Department of Mathematics, Scott Christian College (Autonomous), Nagercoil.

Membership

• International Society of Difference Equations.

• Indian Mathematical Society (L/2022/127).

• Executive Member, Academia for Advanced Research in Mathematics Society (AARM).

Publications

1. M.Maria Susai Manuel, G.Britto Antony Xavier, R.Pugalarasu and D.S.Dilip, “On the solutions of second order generalized difference equations”, Advances in Difference Equations, 2012, 2012:105.
2. M.Maria Susai Manuel, G.Britto Antony Xavier, R.Pugalarasu and D.S.Dilip, “An Application on the Second-order Generalized Difference Equations”, Advances in Difference Equations, 2013, 2013:35.

3. M. Maria Susai Manuel, K. Srinivasan, D. S. Dilip, and G. Dominic Babu, “Asymptotic and Oscillatory Behaviour of certain Nonlinear Generalized α-Difference Equations,” International Journal of Pure And Applied Mathematics, 92(4), 2014, 549 – 563.

4. M. Maria Susai Manuel, K. Srinivasan, D. S. Dilip, and G. Dominic Babu, “Global Properties Of Solutions Of Fourth Order Generalized α-Difference Equations,” International Journal of Pure and Applied Mathematics, 96(1), 2014, 117-134.

5. M. Maria Susai Manuel, K. Srinivasan, D. S. Dilip, and G. Dominic Babu, “Asymptotic properties of solutions of higher order nonlinear generalized α–difference equations,” Far East Journal of Mathematical Sciences, 94(2), 2014, 189 -202.

6. M. Maria Susai Manuel, G. Dominic Babu, D.S. Dilip, and G. Britto Antony Xavier, “Asymptotic and Oscillatory Behaviour of Solutions of Third Order Generalized Mixed Difference Equation,” International Journal of Pure and Applied Mathematics, 105(2), 2015, 201-211.

7. M. Maria Susai Manuel, G. Dominic Babu, D.S. Dilip, and G. Britto Antony Xavier, “Oscillatory and Nonoscillatory Behaviour of Solutions of Generalized Mixed Difference Equations,” International Journal of Pure and Applied Mathematics, 106(2), 2016, 639-647.

8. D.S. Dilip, M. Maria Susai Manuel, G. Britto Antony Xavier, and G. Dominic Babu, “Nonexistence of Solutions of Certain Type of Second Order α-Difference Equation in ι2 and c0 Space,” Southeast Asian Bulletin of Mathematics, 40(3), 2016, 329 – 340.

9. D.S. Dilip, Adem Kilicman, and Sibi C. Babu, “Asymptotic and Boundedness Behaviour of a Rational Difference Equation,” Journal of Difference Equations and Applications, 25(3), 2019, 305-312.

10. D.S. Dilip and Tony Philip, “Global Stability, Periodicity, and Boundedness Behavior of a Difference Equation,” Southeast Asian Bulletin of Mathematics, 44(3), 2020, 315-323.

11. J. Leo Amalraj, M. Maria Susai Manuel, D.S. Dilip, and P. Venkat Mohan Reddy, “Stability and Boundedness Properties of a Rational Exponential Difference Equation,” Advances in Mathematics: Scientific Journal, 9(7), 2020, 4945-4954.

12. Sudha George, T.R. Sivakumar, and D.S. Dilip, “Solution of Nonlinear Second Order Multi-Point Boundary Value Problems by Shooting Type Differential Transform Algorithm,” Advances in Mathematics: Scientific Journal, 9(6), 2020, 4155-4164.

13. Sudha George, T.R. Sivakumar, and D.S. Dilip, “Solution of Nonlinear Fourth Order Boundary Value Problems by Shooting Type Differential Transform Algorithm,” Advances in Mathematics: Scientific Journal, 9(8), 2020, 6359-6368.

14. D.S. Dilip, Smitha Mary Mathew, and E.M. Elsayed, “Asymptotic and Boundedness Behaviour of a Second Order Difference Equation,” Journal of Computational Mathematica, 4(2), 2020, 68-77.

15. D.S. Dilip and Sibi C. Babu, “Rectangular p Periodicity and pq Periodicity of a Rational Difference System, Examples and Counterexamples,” 1, 2021, 100004.

16. D.S. Dilip and Smitha Mary Mathew, “Dynamics of a Second Order Nonlinear Difference System with Exponents,” Journal of the Egyptian Mathematical Society, 2021, 29:10.

17. D.S. Dilip and Smitha Mary Mathew, “Stability Analysis of a Time Varying Population Model Without Migration,” Journal of Difference Equations and Applications, 27(10), 2021, 1525-1536.

18. Smitha Mary Mathew and D.S. Dilip, “Dynamics of interspecific k species competition model,” Journal of Interdisciplinary Mathematics, 25(3), 2022, 629-638.

19. Sudha George, T.R. Sivakumar, and D.S. Dilip, “Solution of Nonlinear Boundary Layer Problems With One Boundary Conditions at Infinity using Shooting Type Differential Transform Algorithm,” Journal of Computational Mathematica, 6(1), 2022, 107-116.

20. D.S. Dilip and Tony Philip, “Stability and Bifurcation Analysis of Two Spatial Population Dynamics Models,” International Journal of Applied and Computational Mathematics, 8, 108(2022).

21. Smitha Mary Mathew and D.S. Dilip, “Dynamics of a Second Order Three Species Nonlinear Difference System with Exponents,” Proyecciones (Antofagasta, On line), 41(4), 2022, 983-997.

22. J. Leo Amalraj, M. Maria Susai Manuel, Dumitru Baleanu, and D.S. Dilip, “Global Stability, Periodicity, and Bifurcation Analysis of a Difference Equation,” AIP Advances, 13, 015116 (2023).

23. Sibi C. Babu, D.S.Dilip and Smitha Mary Mathew, Behavior of Solutions of a Discrete Population Model with Mutualistic Interaction, Computational and Mathematical Biophysics, 12(1), 2024, 20230121.

24. Smitha Mary Mathew, D.S Dilip and Sibi C. Babu, Stability and Bifurcation in a Second-Order difference system, Communications in Applied Nonlinear Analysis, vol 31(5), 2024.

.