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

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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 mceclip0-2d9242276c29871e49a7cb87a3336227.png 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

Issue

Vol. 29 No. 4 (2021): JOCAAA

Section

Articles

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Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.