Uniform Stability of Nonlinear Difference SystemsU

We offer sufficient conditions for the uniform stability and uniformly asymptotic stability of the zero solution of the nonlinear difference system x nq1.ylx n.qf n, xn.s0, ngN, where l gw0, 1x, f : N=SªR, S is the set of all functions f: N yk, 0.ªR for some kgN, and xngS is defined by xn m.sx nqm. for mgN yk, 0..