About the behavior of solutions for Volterra difference equations with infinite delay

被引：7

作者：

Castro, Airton ^{[1
]}

Cuevas, Claudio ^{[1
]}

Dantas, Filipe ^{[1
]}

Soto, Herme ^{[2
]}

机构：

[1] Univ Fed Pernambuco, Dept Matemat, BR-50540740 Recife, PE, Brazil

[2] Univ La Frontera, Dept Matemat & Estadist, Temuco, Chile

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 255卷

关键词：

Almost automorphy; Asymptotic behavior; Volterra functional difference equation; ASYMPTOTIC-BEHAVIOR; AUTOMORPHIC SOLUTIONS; BOUNDEDNESS; CONVERGENT; SYSTEMS;

D O I：

10.1016/j.cam.2013.04.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of discrete almost automorphic solutions and asymptotic behavior for non-linear Volterra difference equations of convolution type with infinite delay where the nonlinear perturbation is considered not necessarily globally Lipschitz. The results are a consequence of application of different fixed point theorems, namely, the contraction principle, the Leray-Schauder, the Krasnoselkii and Matkowski's fixed point technique. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：44 / 59

页数：16

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