Asymptotic representation of the solutions of linear Volterra difference equations

被引：29

作者：

Gyori, Istvan ^{[1
]}

Horvath, Laszlo ^{[1
]}

机构：

[1] Univ Pannonia, Dept Math & Comp, H-8200 Veszprem, Hungary

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2008年 / 2008卷 / 1期

基金：

匈牙利科学研究基金会;

关键词：

D O I：

10.1155/2008/932831

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article analyses the asymptotic behaviour of solutions of linear Volterra difference equations. Some sufficient conditions are presented under which the solutions to a general linear equation converge to limits, which are given by a limit formula. This result is then used to obtain the exact asymptotic representation of the solutions of a class of convolution scalar difference equations, which have real characteristic roots. We give examples showing the accuracy of our results. Copyright (C) 2008 I. Gyori and L. Horvath.

引用

页数：22

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