Exponential dichotomy and boundedness for retarded functional difference equations

被引：20
|
作者：
Cardoso, Fernando [1 ]
Cuevas, Claudio [1 ]
机构：
[1] Univ Fed Pernambuco, Dept Matemat, Recife, PE, Brazil
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2009年 / 15卷 / 03期
关键词：
exponential dichotomy; difference equations; infinite delay; robustness; boundedness; Volterra difference equations; ASYMPTOTIC-BEHAVIOR;
D O I：
10.1080/10236190802125330
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We characterize the exponential dichotomy of difference equations with infinite delay. We apply the results to study the robustness of exponential dichotomy. This kind of dichotomy gives us relevant information about boundedness of solutions for several perturbed quasi linear systems with infinite delay. Applications to Volterra difference equations are shown.
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页码：261 / 290
页数：30
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