Boundedness and stability results for the finite delay nonlinear Volterra discrete system

Abstract

\begin{abstract}
In this paper, we consider Lyapunov functionals to obtain boundedness and stability results regarding the solutions of the finite delay nonlinear Volterra discret system :
\begin{eqnarray*}
\begin{array}{ll}
\displaystyle x(n+1)=A(n)x(n)+D(n)x(n-h)+g(n,x(n))+\sum_{s=n-h}^{n}B(n,s)f(s,x(s))\,.
\end{array}
\end{eqnarray*}
\end{abstract}