A survey:: stability and boundedness of Volterra difference equations

被引：40
作者：
Kolmanovskii, VB [1 ]
Castellanos-Velasco, E [1 ]
Torres-Muñoz, JA [1 ]
机构：
[1] IPN, CINVESTAV, Mexico City 07360, DF, Mexico
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 53卷 / 7-8期
关键词：
asymptotic stability and boundedness; Volterra equations; direct Liapunov method; comparison principle; topology;
D O I：
10.1016/S0362-546X(03)00021-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Volterra difference equations arise in the modeling of many real phenomena. In this survey stability and boundedness problems of some Volterra nonlinear difference equations are investigated. Stability conditions and boundedness are formulated in terms of the characteristics of equations. (C) 2003 Elsevier Science Ltd. All rights reserved.
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收藏
页码：861 / 928
页数：68
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