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Functions of shift operator and their applications to difference equations

We study the representation for functions of shift operator acting upon bounded sequences of elements of a Banach space. An estimate is obtained for the bounded solution of a linear difference equation in the Banach space. For two types of differential equations in Banach spaces, we present sufficie...

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Bibliographic Details
Date:	2010
Main Authors:	Chaikovs'kyi, A. V., Чайковський, А. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2010
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2965
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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