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$l_p$-Solutions of One Difference Equation in a Banach Space

We establish a criterion for the existence and uniqueness of solutions of a linear difference equation with an unbounded operator coefficient belonging to the space $l_p(B)$ of sequences of elements of a Banach space $B$.

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Bibliographic Details
Date:	2003
Main Authors:	Gorodnii, M. F., Городній, М. Ф.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2003
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3916
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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