Nonlinear Discrete Inequalities Method for the Ulam Stability of First Order Nonlinear Difference Equations

R.Dhanasekaran; E.Thandapani; J.M.Rassias

Nonlinear Discrete Inequalities Method for the Ulam Stability of First Order Nonlinear Difference Equations

Authors

R.Dhanasekaran Department of Mathematics, Vel Tech Rangarajan Dr.Sagunthala, R and D Institute of Science and Technology, Chennai - 600 062, India. https://orcid.org/0009-0005-3174-762X
E.Thandapani Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai - 600 005, India https://orcid.org/0009-0005-3174-762X
J.M.Rassias Pedagogical Department E.E.,Section of Mathematics and Informatics, National and Capodistrian University of Athens, Athens 15342,GREECE. https://orcid.org/0009-0005-3174-762X

Keywords:

Ulam stability, discrete inequality, nonlinear difference equation.

Abstract

In this paper, first we derive some nonlinear discrete inequalities, and then as an application, we study the Ulam stability of the first order nonlinear difference equation where f is a given function. The obtained result on Ulam stability is new to the literature in the sense that our approach does not require the explicit form of solutions of the investigated equation

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Published

2021-08-17

How to Cite

R.Dhanasekaran, E.Thandapani, & J.M.Rassias. (2021). Nonlinear Discrete Inequalities Method for the Ulam Stability of First Order Nonlinear Difference Equations. Journal of Computational Analysis and Applications (JoCAAA), 29(4), 682–690. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/181