On the Ulam Type Stability of Nonlinear Volterra Integral Equations

TL;DR

This paper investigates the stability of solutions to nonlinear Volterra integral equations, extending existing results through improved techniques and providing illustrative examples.

Contribution

It introduces enhanced methods for analyzing Hyers-Ulam stability of nonlinear Volterra equations, broadening the scope of previous findings.

Findings

Extended stability results for nonlinear Volterra integral equations

Improved techniques using fixed point methods

Examples demonstrating the effectiveness of the new results

Abstract

In this paper, we examine the Hyers-Ulam and Hyers-Ulam-Rassias stability of solutions of a general class of nonlinear Volterra integral equations. By using a fixed point alternative and improving a technique commonly used in similar problems, we extend and improve some well-known results on this problem. We also provide some examples visualizing the improvement of the results mentioned.