On nonuniform exponential dichotomy of evolution operators in Banach spaces

被引：0

作者：

Mihail Megan

Bogdan Sasu

Adina Luminiţa Sasu

机构：

[1] University of the West,Department of Mathematics

来源：

Integral Equations and Operator Theory | 2002年 / 44卷

关键词：

34D09; 34D05;

D O I：

暂无

中图分类号：

学科分类号：

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 (C0,C0) are established. Generalizations to the nonuniform case of some results of Van Min, Räbiger 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：7

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