Asymptotic equivalence between two difference systems

Computers & Mathematics with Applications（2003）

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摘要

In this paper, we study the asymptotic equivalence between the linear system Δx(n) = A(n)x(n) and its perturbation Δy(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 Δx(n) = f(n, x(n)).

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关键词

Difference system,Asymptotic equilibrium,Comparison principle,Schauder's fixed-point theorem

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