Bounded Solutions for Some Classes of Difference Equations with Operator Coefficients

We obtain necessary and sufficient conditions for the existence and uniqueness of bounded solutions for some classes of linear one- and two-parameter difference equations with operator coefficients in a Banach space.

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Date:2001
Main Authors: Gorodnii, M. F., Lagoda, O. A., Городній, М. Ф., Лагода, О. А.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2001
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4369
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Gorodnii, M. F.
Lagoda, O. A.
Городній, М. Ф.
Лагода, О. А.
author_facet Gorodnii, M. F.
Lagoda, O. A.
Городній, М. Ф.
Лагода, О. А.
author_sort Gorodnii, M. F.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2020-03-18T20:27:24Z
description We obtain necessary and sufficient conditions for the existence and uniqueness of bounded solutions for some classes of linear one- and two-parameter difference equations with operator coefficients in a Banach space.
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English
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spelling umjimathkievua-article-43692020-03-18T20:27:24Z Bounded Solutions for Some Classes of Difference Equations with Operator Coefficients Обмежені розв'язки деяких класів різницевих рівнянь з операторними коефіцієнтами Gorodnii, M. F. Lagoda, O. A. Городній, М. Ф. Лагода, О. А. We obtain necessary and sufficient conditions for the existence and uniqueness of bounded solutions for some classes of linear one- and two-parameter difference equations with operator coefficients in a Banach space. Отримано необхідні та достатні умови існування і єдиності обмежених розв'язків деяких класів лінійних одно- та двопараметричних різницевих рівнянь з операторними коефіцієнтами у бана-ховому просторі. Institute of Mathematics, NAS of Ukraine 2001-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4369 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 11 (2001); 1495-1500 Український математичний журнал; Том 53 № 11 (2001); 1495-1500 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4369/5442 https://umj.imath.kiev.ua/index.php/umj/article/view/4369/5443 Copyright (c) 2001 Gorodnii M. F.; Lagoda O. A.
spellingShingle Gorodnii, M. F.
Lagoda, O. A.
Городній, М. Ф.
Лагода, О. А.
Bounded Solutions for Some Classes of Difference Equations with Operator Coefficients
title Bounded Solutions for Some Classes of Difference Equations with Operator Coefficients
title_alt Обмежені розв'язки деяких класів різницевих рівнянь з операторними коефіцієнтами
title_full Bounded Solutions for Some Classes of Difference Equations with Operator Coefficients
title_fullStr Bounded Solutions for Some Classes of Difference Equations with Operator Coefficients
title_full_unstemmed Bounded Solutions for Some Classes of Difference Equations with Operator Coefficients
title_short Bounded Solutions for Some Classes of Difference Equations with Operator Coefficients
title_sort bounded solutions for some classes of difference equations with operator coefficients
url https://umj.imath.kiev.ua/index.php/umj/article/view/4369
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