Asymptotic expansion of the solution of a matrix differential-difference equation of the general form

被引：0
作者：
Sgibnev, M. S. [1 ]
机构：
[1] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk, Russia
来源：
DIFFERENTIAL EQUATIONS | 2016年 / 52卷 / 01期
关键词：
Asymptotic Expansion; Characteristic Equation; Matrix Function; Maximal Ideal; Spectral Radius;
D O I：
10.1134/S0012266116010031
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain the asymptotic expansion of the solution of an inhomogeneous matrix differential-difference equation that belongs to the retarded or neutral type. The case of unbounded delays is considered. We take into account the influence of roots of the characteristic equation. An integral estimate of the remainder with a semimultiplicative weight is obtained depending on the semimultiplicative moment of the free matrix term in the equation.
引用
收藏
页码：28 / 38
页数：11
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