Asymptotic equivalence between two difference systems
In this paper, we study the asymptotic equivalence between the linear system Deltax(n) = A(n)x(n) and its perturbation Deltay(n) = A(n)y(n) + g(n, y(n)) by using the comparison principle and supplementary projections. Furthermore, we establish some asymptotic properties for the nonlinear system Deltax(n) = f (n, x(n)). (C) 2003 Elsevier Science Ltd. All rights reserved.
difference system comparison principle asymptotic equilibrium schauder's fixed-point theorem