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

被引:0
作者
M. S. Sgibnev
机构
[1] Siberian Branch of the Russian Academy of Sciences,Sobolev Institute of Mathematics
来源
Differential Equations | 2016年 / 52卷
关键词
Asymptotic Expansion; Characteristic Equation; Matrix Function; Maximal Ideal; Spectral Radius;
D O I
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中图分类号
学科分类号
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.
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页码:28 / 38
页数:10
相关论文
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  • [10] Sgibnev M.S.(undefined)undefined undefined undefined undefined-undefined