General theorems for stability and boundedness for nonlinear functional discrete systems

被引：15

作者：

Raffoul, YN ^{[1
]}

机构：

[1] Univ Dayton, Dept Math, Dayton, OH 45469 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 279卷 / 02期

关键词：

Lyapunov functionals; nonlinear discrete systems; uniform stability; uniform boundedness;

D O I：

10.1016/S0022-247X(03)00051-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the nonlinear functional discrete system x(n + 1) = G(n, x(s); 0 less than or equal to s less than or equal to n) =(def) G(n, x((.))) and obtain sufficient conditions for stability properties of the zero solution and for the boundedness of solutions. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：639 / 650

页数：12

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