On Uniform Polynomial Stability of Variational Nonautonomous Difference Equations in Banach Spaces

In this paper we give characterizations for uniform polynomial stability property of variational nonautonomous difference equations. We obtain results that generalize the well-known theorems due to R.Datko ([3]), E.Barbashin ([1]) and A.Lyapunov ([4]) for variational nonautonomous difference equations.