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
收藏
页码：71 / 78
页数：8
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