Discrete dichotomies and asymptotic behavior for abstract retarded functional difference equations in phase space

被引：18

作者：

Cuevas, C

Vidal, C

机构：

[1] Univ La Frontera, Dept Matemat, Temuco, Chile

[2] Univ Fed Pernambuco, Dept Matemat, Recife, PE, Brazil

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2002年 / 8卷 / 07期

关键词：

retarded functional difference equation; phase space; asymptotic behavior; discrete dichotomies; weighted bounded solutions; approximation;

D O I：

10.1080/10236190290032499

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the problem of asymptotic behavior between weighted bounded solutions of a system of homogeneous linear functional difference equations and its perturbation under non-classical dichotomic properties and also we obtain some results about approximation. We apply our results to Volterra difference systems with infinite delay.

引用

页码：603 / 640

页数：38

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