ON THE MAXIMAL ASYMPTOTICS FOR LINEAR DIFFERENTIAL EQUATIONS IN BANACH SPACES

被引：6

作者：

Sklyar, G. M. ^{[1
]}

机构：

[1] Univ Szczecin, Inst Math, PL-70451 Szczecin, Poland

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2010年 / 14卷 / 06期

关键词：

Maximal asymptotics; C-0-semigroups; Asymptotic stability; Linear differential equations in Banach spaces; STABILITY; SYSTEMS;

D O I：

10.11650/twjm/1500406070

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The work develops the approach proposed in 1982 by the author and V.Ya. Shirman for analysis of asymptotic stability of a linear differential equation in Banach space. It is shown that the method introduced in the mentioned above work allows also to prove the nonexistence of the fastest growing solution for a wide class of linear equations.

引用

页码：2203 / 2217

页数：15

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