School of Mathematics and Statistics
Guizhou University
Guiyang, Guizhou 550025, China
email: kaichen589@163.com
School of Mathematics and Statistics
Guizhou University
Guiyang, Guizhou 550025, China
email: jrwang@gzu.edu.cn
Kai Chen, Jinrong Wang
Abstract:
In this article, we study the Ulam type stability of nonlinear
Hahn difference equations with delay over a finite interval.
First, we use the Banach fixed point theorem to prove the existence and
uniqueness of a solution. Then we establish the Ulam stability for
first and second order nonlinear Hahn difference equations with delay.
We also extend our analysis to \(n\)-th order nonlinear Hahn difference
equations with delay. To illustrate our theoretical findings, we provide
three examples.
Submitted September 9, 2024. Published November 30, 2024.
Math Subject Classifications: 39A05, 39A30.
Key Words: Nonlinear Hahn difference equation; delay; Ulam-Hyers stability; Ulam-Hyers-Rassias stability.
DOI: 10.58997/ejde.2024.77
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| Kai Chen School of Mathematics and Statistics Guizhou University Guiyang, Guizhou 550025, China email: kaichen589@163.com | |
|
Jin Rong Wang School of Mathematics and Statistics Guizhou University Guiyang, Guizhou 550025, China email: jrwang@gzu.edu.cn |
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