Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 77, pp. 1-15.

Title: Ulam type stability for nonlinear Hahn difference equations with delay

Authors: Kai Chen (Guizhou Univ., Guiyang, Guizhou, China
        Jinrong Wang (Guizhou Univ., Guiyang, Guizhou, China)
  
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.