Exponential Dichotomy and Bounded Solutions of Differential Equations in the Fréchet Space

被引:0
|
作者
A. A. Boichuk
A. A. Pokutnyi
机构
[1] Ukrainian National Academy of Sciences,Institute of Mathematics
来源
Ukrainian Mathematical Journal | 2015年 / 66卷
关键词
Banach Space; Evolutionary Operator; Linear Differential Equation; Bound Solution; Fredholm Operator;
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中图分类号
学科分类号
摘要
We establish necessary and sufficient conditions for the existence of bounded solutions of linear differential equations in the Fréchet space. The solutions are constructed with the use of a strong generalized inverse operator.
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页码:1781 / 1792
页数:11
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