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

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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Bibliographic Details
Date:2014
Main Authors: Boichuk, О. A., Pokutnyi, О. О., Бойчук, А. А., Покутный, А. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2014
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2248
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal