Bounded solutions of a difference equation in Banach space with input data in subspaces

UDC 517.929.2 We study the problem of existence and uniqueness of a bounded solution to a difference equation of the first order with a constant operator coefficient in a Banach space. For the case where the initial condition and input sequence are in some subspaces, necessary and sufficient conditi...

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Bibliographic Details
Date:2021
Main Authors: Chaikovs'kyi, A. V., Lagoda , O. A., ., Чайковський , А. В., Лагода , О. А.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2021
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6692
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal