On the stability in periodic and almost periodic difference systems

被引：14

作者：

Ignatyev, AO

Ignatyev, OA

机构：

[1] Inst Appl Math & Mech, UA-83114 Donetsk, Ukraine

[2] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 313卷 / 02期

关键词：

difference equations; stability; Lyapunov's direct method;

D O I：

10.1016/j.jmaa.2005.04.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the system of difference equations x(n+1) = f(n)(x(n)), f(n)(0) = 0, n = 0, 1, 2,.... This system has the trivial (zero) solution x(n) = 0. Sufficient conditions of its asymptotic stability are obtained in the cases when functions fu (x) are periodic and almost periodic in n (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：678 / 688

页数：11

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