Uniform stability of nonlinear difference systems

被引：46

作者：

Zhou, Z ^{[1
]}

Zhang, QQ ^{[1
]}

机构：

[1] Hunan Univ, Dept Math Appl, Changsha 410083, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 225卷 / 02期

基金：

中国国家自然科学基金;

关键词：

difference system; uniform stability; uniformly asymptotic stability;

D O I：

10.1006/jmaa.1998.6039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We offer sufficient conditions for the uniform stability and uniformly asymptotic stability of the zero solution of the nonlinear difference system x(n + 1) - lambda x(n) + f(n, x(n)) = 0, n is an element of N, where lambda is an element of [0, 1], f: N x S --> R, S is the set of all functions phi: N(-k, 0) --> R for some k is an element of N, and x(n) is an element of S is defined by x(n)(m) = x(n + m) for m is an element of N(-k, 0). (C) 1998 Academic Press.

引用

页码：486 / 500

页数：15

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