Application of the ergodic theory to the investigation of a boundaryvalue problem with periodic operator coefficient

We establish necessary and sufficient conditions for the solvability of a family of differential equations with periodic operator coefficient and periodic boundary condition by using the notion of the relative spectrum of a linear bounded operator in a Banach space and the ergodic theorem. We show...

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Bibliographic Details
Date:2013
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 2013
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2422
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal