The Behavior of solutions of linear Volterra difference equations with infinite delay

被引：11

作者：

Philos, CG ^{[1
]}

Purnaras, IK ^{[1
]}

机构：

[1] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 10-11期

关键词：

Volterra difference equation; infinite delay; asymptotic behavior; stability;

D O I：

10.1016/j.camwa.2004.06.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of linear Volterra difference equations with infinite delay is considered. A basic theorem on the behavior of solutions is established and, as a corollary, a useful exponential estimate for solutions is obtained and a stability criterion is derived. These results are achieved via an appropriate positive root of the corresponding characteristic equation. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1555 / 1563

页数：9

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[2]

[Anonymous], APPL ANAL

[3]

Driver R.D., 1972, DELAY FUNCTIONAL DIF, P103, DOI DOI 10.1016/B978-0-12-627250-5.50008-3

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