Asymptotic Constancy in Linear Difference Equations: Limit Formulae and Sharp Conditions

被引：18

作者：

Gyori, Istvan ^{[1
]}

Horvath, Laszlo ^{[1
]}

机构：

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2010年

关键词：

Nonnegative Integer; Matrix Norm; Initial Sequence; Coefficient Matrice; Constant Delay;

D O I：

10.1155/2010/789302

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is found that every solution of a system of linear delay difference equations has finite limit at infinity, if some conditions are satisfied. These are much weaker than the known sufficient conditions for asymptotic constancy of the solutions. When we impose some positivity assumptions on the coefficient matrices, our conditions are also necessary. The novelty of our results is illustrated by examples.

引用

页数：20

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