Stability of a Volterra Integral Equation on Time Scales
Dynamical Systems
2017-01-06 v1
Abstract
In this paper, we study Hyers-Ulam stability for integral equation of Volterra type in time scale setting. Moreover we study the stability of the considered equation in Hyers-Ulam-Rassias sense. Our technique depends on successive approximation method, and we use time scale variant of induction principle to show that equation (1.1) is stable on unbounded domains in Hyers-Ulam-Rassias sense.
Keywords
Cite
@article{arxiv.1701.01217,
title = {Stability of a Volterra Integral Equation on Time Scales},
author = {Alaa E. Hamza and Ahmed G. Ghallab},
journal= {arXiv preprint arXiv:1701.01217},
year = {2017}
}