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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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