On nonuniform exponential dichotomy of evolution operators in Banach spaces

被引：66

作者：

Megan, M ^{[1
]}

Sasu, B ^{[1
]}

Sasu, AL ^{[1
]}

机构：

[1] Univ West, Dept Math, Timisoara 1900, Romania

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2002年 / 44卷 / 01期

关键词：

D O I：

10.1007/BF01197861

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of nonuniform exponential dichotomy of evolution operators in Banach spaces is considered. Connections between this concept and admissibility of the pair (C-0, C-0) are established. Generalizations to the nonuniform case of some results of Van Minh, Rabiger and Schnaubelt ([MRS]) are obtained. It is shown that an implication from the uniform case is not true for nonuniform exponential dichotomy. The results are applicable for general time-varying linear equations with unbounded coefficients in Banach spaces.

引用

页码：71 / 78

页数：8

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