Asymptotic analysis for Volterra difference equations

被引：4

作者：

Cuevas, Claudio ^{[1
]}

Choquehuanca, Mario ^{[2
]}

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：

ASYMPTOTIC ANALYSIS | 2014年 / 88卷 / 03期

关键词：

Volterra difference equation; perturbation theory; asymptotic behavior; continuity properties; compactness properties; CYTOPLASMIC INCOMPATIBILITY; WOLBACHIA; BOUNDEDNESS; HOST; DYNAMICS; BEHAVIOR; ADMISSIBILITY; STABILITY; EXISTENCE;

D O I：

10.3233/ASY-131213

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be an arbitrary Banach space. This work deals with the asymptotic behavior, the continuity and the compactness properties of solutions of the non-linear Volterra difference equation in X described by u(n + 1) = lambda Sigma(n)(j=-infinity) a(n-j) u(j) + f(n, u(n)), n is an element of Z, for. in a distinguished subset of the complex plane, where a(n) is a complex summable sequence and the perturbation f is a non-Lipschitz nonlinearity. Concrete applications to control systems and integro-difference equations are given.

引用

页码：125 / 164

页数：40

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