Stability of Volterra difference delay equations

E. Yankson, University of Kent, Kent, OH, U.S.A.

E. J. Qualitative Theory of Diff. Equ., No. 20. (2006), pp. 1-14.

Abstract: We study the asymptotic stability of the zero solution of the Volterra difference delay equation

\begin{equation}
x(n+1)=a(n)x(n)+c(n)\Delta x(n-g(n))+\sum^{n-1}_{s=n-g(n)}k(n,s)h(x(s)).\nonumber
\end{equation}

A Krasnoselskii fixed point theorem is used in the analysis.

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