An asymptotic expansion of the solution of a matrix difference equation of general form

被引：0

作者：

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

机构：

[1] Russian Acad Sci, Sobolev Inst Math, Siberian Div, Novosibirsk, Russia

来源：

SBORNIK MATHEMATICS | 2014年 / 205卷 / 12期

关键词：

matrix difference equation; unbounded delay; characteristic equation; submultiplicative function; asymptotic behaviour; Banach algebra;

D O I：

10.1070/SM2014v205n12ABEH004441

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An asymptotic expansion of the solution of an inhomogeneous 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. An integral estimate with a submultiplicative weight is established for the remainder in terms of the submultiplicative moment of the free term of the equation. Bibliography: 14 titles.

引用

页码：1815 / 1828

页数：14

共 37 条

[21] OSCILLATORY AND ASYMPTOTIC BEHAVIOUR OF A HOMOGENEOUS NEUTRAL DELAY DIFFERENCE EQUATION OF SECOND ORDER
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[22] The General Solutions of Second Order Homogenous Matrix Difference Equations
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[28] Global existence and asymptotic behaviour of the solution of a generalized Burger's equation with viscosity
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COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (5-6) : 589 - 596
[29] Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation
Kaikina, E. I.
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IZVESTIYA MATHEMATICS, 2013, 77 (02) : 313 - 324
[30] Hyers-Ulam stability of the first order inhomogeneous matrix difference equation
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