Stability of Volterra diference delay equations

Abstract

We study the asymptotic stability of the zero solution of the Volterra difference delay equation x(n + 1) = a(n)x(n) + c(n)∆x(n − g(n)) +nX−1s=n−g(n)k(n, s)h(x(s)). A Krasnoselskii fxed point theorem is used in the analysis