Asymptotic equivalence for difference equations with infinite delay

被引：29

作者：

Elaydi, S

Murakami, S

Kamiyama, E

机构：

[1] Okayama Univ Sci, Dept Appl Math, Okayama 700, Japan

[2] Trinity Univ, Dept Math, San Antonio, TX 78212 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 1999年 / 5卷 / 01期

关键词：

asymptotic equivalence; functional difference equation; Volterra difference equation; infinite delay; asymptotic representation;

D O I：

10.1080/10236199908808167

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that under certain conditions there is a one to one correspondence between bounded solutions of a linear Volterra difference equation with infinite delay and its perturbation. This correspondence is elevated to asymptotic equivalence under additional assumptions on the homogeneous system.

引用

页码：1 / 23

页数：23

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