Integral sets of systems of difference equations

The problem of existence of integral sets of systems of difference equations is studied. We establish sufficient conditions for the existence of these sets and their stability. For the system under consideration, the behavior of trajectories that originate in a sufficiently small neighborhood of int...

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Date:1993
Main Authors: Gulov, Kh. M., Perestyuk, N. A., Гулов, Х. М., Перестюк, Н. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1993
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5968
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Gulov, Kh. M.
Perestyuk, N. A.
Гулов, Х. М.
Перестюк, Н. А.
Гулов, Х. М.
Перестюк, Н. А.
author_facet Gulov, Kh. M.
Perestyuk, N. A.
Гулов, Х. М.
Перестюк, Н. А.
Гулов, Х. М.
Перестюк, Н. А.
author_sort Gulov, Kh. M.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2020-03-19T09:22:20Z
description The problem of existence of integral sets of systems of difference equations is studied. We establish sufficient conditions for the existence of these sets and their stability. For the system under consideration, the behavior of trajectories that originate in a sufficiently small neighborhood of integral sets is investigated.
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spelling umjimathkievua-article-59682020-03-19T09:22:20Z Integral sets of systems of difference equations Интегральные множества систем разностных уравнений Gulov, Kh. M. Perestyuk, N. A. Гулов, Х. М. Перестюк, Н. А. Гулов, Х. М. Перестюк, Н. А. The problem of existence of integral sets of systems of difference equations is studied. We establish sufficient conditions for the existence of these sets and their stability. For the system under consideration, the behavior of trajectories that originate in a sufficiently small neighborhood of integral sets is investigated. Досліджується питання існування інтеральних множин систем різницевих рівнянь. Одержані достатні умови існування інтегральних множин, їх стійкості, а також вивчена поведінка траєк­торій досліджуваної системи, що починається в достатньо малому околі інтегральних множин. Institute of Mathematics, NAS of Ukraine 1993-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5968 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 12 (1993); 1613–1621 Український математичний журнал; Том 45 № 12 (1993); 1613–1621 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5968/8619 https://umj.imath.kiev.ua/index.php/umj/article/view/5968/8620 Copyright (c) 1993 Gulov Kh. M.; Perestyuk N. A.
spellingShingle Gulov, Kh. M.
Perestyuk, N. A.
Гулов, Х. М.
Перестюк, Н. А.
Гулов, Х. М.
Перестюк, Н. А.
Integral sets of systems of difference equations
title Integral sets of systems of difference equations
title_alt Интегральные множества систем разностных уравнений
title_full Integral sets of systems of difference equations
title_fullStr Integral sets of systems of difference equations
title_full_unstemmed Integral sets of systems of difference equations
title_short Integral sets of systems of difference equations
title_sort integral sets of systems of difference equations
url https://umj.imath.kiev.ua/index.php/umj/article/view/5968
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