Ulam type stability for nonlinear Hahn difference equations with delay

Abstract

In this article, we investigate 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 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. For more information see https://ejde.math.txstate.edu/Volumes/2024/77/abstr.html