Papers Published:
[1] M.Maria Susai Manuel, G.Britto Antony Xavier, D.S.Dilip and V.Chandrasekar, General Partial Sums of Reciprocals of Products of Consecutive Terms of Arithmetic Progression, International Journal of Computational and Applied Mathematics, 4(3)(2009), 259 - 272.
[2] M.Maria Susai Manuel, G.Britto Antony Xavier, D.S.Dilip and G.Dominic Babu, Asymptotic Properties of Solutions of Higher Order Nonlinear Generalized Difference Equation, International Journal of Applied Mathematics, 25(1), 2012, 125 - 138.
[3] M.Maria Susai Manuel, G.Britto Antony Xavier, D.S.Dilip and G.Dominic Babu, Oscillation, Nonoscillation and Growth of Solutions of Generalized Nonlinear Difference Equation of Second Order, J. of Mod. Meth. in Numer. Math., 3(2), (2012), 23 - 34.
[4] M.Maria Susai Manuel, G.Britto Antony Xavier, D.S.Dilip and G.Dominic Babu, Oscillation, Nonoscillation and Growth of Solutions of Generalized Nonlinear \alpha-Difference Equation of Second Order, Global Journal of Mathematical Science: Theory & Practical, 4(1), 2012, 211 - 225.
[5] M.Maria Susai Manuel, G.Britto Antony Xavier, D.S.Dilip and G.Dominic Babu, Asymptotic Behavior of Solutions of Generalized Nonlinear Difference Equation of Second Order, Communications in Difference and Differential Equations, 3(1), 2012, 13 - 21.
[6] M.Maria Susai Manuel, G.Britto Antony Xavier, D.S.Dilip and G.Dominic Babu, Oscillation and Nonoscillation for Certain Class of First and Second Order Generalized \alpha-Difference Equations, International Journal of Pure And Applied Mathematics, 78(3), 2012, 451 - 468.
[7] 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 (12 July 2012).
[8] M.Maria Susai Manuel, G.Britto Antony Xavier and D.S.Dilip, \alpha-Difference Operator And Its Application On Number Theory, J. of Mod. Meth. in Numer. Math., 3(2), (2012), 79 - 95.
[9] M.Maria Susai Manuel, G.Britto Antony Xavier, D.S.Dilip and G.Dominic Babu, Asymptotic Behavior of Solutions of Generalized Nonlinear \alpha -Di fference Equation of Second Order, Journal of Informatics and Mathematical Sciences, 5(2), (2013), 121 - 130.
[10] 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.
[11] M.Maria Susai Manuel, K.Srinivasan, D.S.Dilip and G.Dominic Babu, Asymptotic and Oscillatory Behaviour of Certain Nonlinear Generalized \alpha-Difference Equations, International Journal of Pure and Applied Mathematics, 92(4), 2014, 549 - 563.
[12] M.Maria Susai Manuel, K.Srinivasan, D.S.Dilip and G.Dominic Babu, Global Properties of Solutions of Fourth Order Generalized $\alpha-$Difference Equation, International Journal of Pure and Applied Mathematics, 96(1), 2014, 117 - 134.
[13] M.Maria Susai Manuel, K.Srinivasan, D.S.Dilip and G.Dominic Babu, Asymptotic Properties of Solutions of Higher Order Nonlinear Generalized $\alpha-$Difference Equations, Far East Journal of Mathematical Sciences, 94(2), 2014, 189 -202.
[14] 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.
[15] 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.
[16] D.S.Dilip, M.Maria Susai Manuel, G.Britto Antony Xavier and G.Dominic Babu, Nonexistence of Solutions of Certain Type of Second Order Generalized $\alpha$-Difference Equation in l_2 and c_0 spaces, Southeast Asian Bulletin of Mathematics, 40(3), 2016, 329-340.
[17] D.S.Dilip, Adem Kilicman and Sibi C. Babu, Asymptotic and Boundedness Behavior of a Rational Difference Equation, Journal of Difference Equations and Applications, 25(3), 2019, 305-312.
[18] 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.
[5] M.Maria Susai Manuel, G.Britto Antony Xavier, D.S.Dilip and G.Dominic Babu, Asymptotic Behavior of Solutions of Generalized Nonlinear Difference Equation of Second Order, Communications in Difference and Differential Equations, 3(1), 2012, 13 - 21.
[6] M.Maria Susai Manuel, G.Britto Antony Xavier, D.S.Dilip and G.Dominic Babu, Oscillation and Nonoscillation for Certain Class of First and Second Order Generalized \alpha-Difference Equations, International Journal of Pure And Applied Mathematics, 78(3), 2012, 451 - 468.
[7] 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 (12 July 2012).
[8] M.Maria Susai Manuel, G.Britto Antony Xavier and D.S.Dilip, \alpha-Difference Operator And Its Application On Number Theory, J. of Mod. Meth. in Numer. Math., 3(2), (2012), 79 - 95.
[9] M.Maria Susai Manuel, G.Britto Antony Xavier, D.S.Dilip and G.Dominic Babu, Asymptotic Behavior of Solutions of Generalized Nonlinear \alpha -Di fference Equation of Second Order, Journal of Informatics and Mathematical Sciences, 5(2), (2013), 121 - 130.
[10] 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.
[11] M.Maria Susai Manuel, K.Srinivasan, D.S.Dilip and G.Dominic Babu, Asymptotic and Oscillatory Behaviour of Certain Nonlinear Generalized \alpha-Difference Equations, International Journal of Pure and Applied Mathematics, 92(4), 2014, 549 - 563.
[12] M.Maria Susai Manuel, K.Srinivasan, D.S.Dilip and G.Dominic Babu, Global Properties of Solutions of Fourth Order Generalized $\alpha-$Difference Equation, International Journal of Pure and Applied Mathematics, 96(1), 2014, 117 - 134.
[13] M.Maria Susai Manuel, K.Srinivasan, D.S.Dilip and G.Dominic Babu, Asymptotic Properties of Solutions of Higher Order Nonlinear Generalized $\alpha-$Difference Equations, Far East Journal of Mathematical Sciences, 94(2), 2014, 189 -202.
[14] 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.
[15] 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.
[16] D.S.Dilip, M.Maria Susai Manuel, G.Britto Antony Xavier and G.Dominic Babu, Nonexistence of Solutions of Certain Type of Second Order Generalized $\alpha$-Difference Equation in l_2 and c_0 spaces, Southeast Asian Bulletin of Mathematics, 40(3), 2016, 329-340.
[17] D.S.Dilip, Adem Kilicman and Sibi C. Babu, Asymptotic and Boundedness Behavior of a Rational Difference Equation, Journal of Difference Equations and Applications, 25(3), 2019, 305-312.
[18] 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.
[19] 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.
[20]Sudha George, T.R.Siva kumar 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.
[21]Sudha George, T.R.Siva kumar 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.
[22] 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.
[23] D.S.Dilip and Sibi C Babu, Rectangular p Periodicity and pq Periodicity of a Rational Difference System , Examples and Counterexamples, 1, 2021, 100004.
[24] 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.
[26] Smitha Mary Mathew and D.S.Dilip, Dynamics of interspecific k species competition mode, Journal of Interdisciplinary Mathematics, 25(3), 2022, 629-638.
[27]Sudha George, T.R.Siva kumar 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.
[28]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).
[29] 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.
[30] 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).
[31] 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.
[32] Smitha Mary Mathew, D.S.Dilip and Sibi C. Babu, Stability and Bifurcation in a Second-Order Difference System, Communications on Applied Nonlinear Analysis, 31(5), 2024, 552-561.
