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.
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页码：1555 / 1563
页数：9
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