Exact Asymptotic Behavior of the Solution of a Matrix Difference Equation

被引：0

作者：

Sgibnev, M. S. ^{[1
]}

机构：

[1] Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2022年 / 34卷 / 02期

关键词：

Matrix difference equation; Unbounded delay; Characteristic equation; Submultiplicative function; Asymptotic behavior; Banach algebra; BANACH-ALGEBRAS;

D O I：

10.1007/s10884-020-09923-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An asymptotic expansion of the solution of a nonhomogeneous matrix difference equation of general form is obtained. The case when there is no bound on the differences of the arguments is considered. The effect of the roots of the characteristic equation is taken into account. The asymptotic behavior of the remainder is established depending on the asymptotics of the free term of the equation.

引用

页码：1173 / 1186

页数：14

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