Investigation of a nonlinear difference equation in a Banach space in a neighborhood of a quasiperiodic solution
We investigate the behavior of a diserete dynamical system in a neighborhood of a quasiperiodic trajeetory for the case of an infinite-dimensional Banach space We find conditions sufficient for the system considered to reduce, in such a neighborhood, to a system with quasiperiodic coefficients.
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| Datum: | 1997 |
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| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5171 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511375763177472 |
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| author | Samoilenko, A. M. Slyusarchuk, V. E. Slyusarchuk, V. V. Самойленко, А. М. Слюсарчук, В. Е. Слюсарчук, В. В. Самойленко, А. М. Слюсарчук, В. Е. Слюсарчук, В. В. |
| author_facet | Samoilenko, A. M. Slyusarchuk, V. E. Slyusarchuk, V. V. Самойленко, А. М. Слюсарчук, В. Е. Слюсарчук, В. В. Самойленко, А. М. Слюсарчук, В. Е. Слюсарчук, В. В. |
| author_sort | Samoilenko, A. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:26:15Z |
| description | We investigate the behavior of a diserete dynamical system in a neighborhood of a quasiperiodic trajeetory for the case of an infinite-dimensional Banach space We find conditions sufficient for the system considered to reduce, in such a neighborhood, to a system with quasiperiodic coefficients. |
| first_indexed | 2026-03-24T03:11:54Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5171 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:11:54Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/2c/eb138a6b25586fab388b702108b5402c.pdf |
| spelling | umjimathkievua-article-51712020-03-18T21:26:15Z Investigation of a nonlinear difference equation in a Banach space in a neighborhood of a quasiperiodic solution Исследование нелинейного разностного уравнения в банаховом пространстве в окрестности квазипериодического решения Samoilenko, A. M. Slyusarchuk, V. E. Slyusarchuk, V. V. Самойленко, А. М. Слюсарчук, В. Е. Слюсарчук, В. В. Самойленко, А. М. Слюсарчук, В. Е. Слюсарчук, В. В. We investigate the behavior of a diserete dynamical system in a neighborhood of a quasiperiodic trajeetory for the case of an infinite-dimensional Banach space We find conditions sufficient for the system considered to reduce, in such a neighborhood, to a system with quasiperiodic coefficients. Досліджується поведінка дискретної динамічної системи в околі квазіперіодичної траєкторії у випадку иескінчениовиміриого банахового простору. Знайдено умови зведення системи в такому околі до системи з квазіперіодичиимн коефіцієнтами. Institute of Mathematics, NAS of Ukraine 1997-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5171 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 12 (1997); 1661–1676 Український математичний журнал; Том 49 № 12 (1997); 1661–1676 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5171/7038 https://umj.imath.kiev.ua/index.php/umj/article/view/5171/7039 Copyright (c) 1997 Samoilenko A. M.; Slyusarchuk V. E.; Slyusarchuk V. V. |
| spellingShingle | Samoilenko, A. M. Slyusarchuk, V. E. Slyusarchuk, V. V. Самойленко, А. М. Слюсарчук, В. Е. Слюсарчук, В. В. Самойленко, А. М. Слюсарчук, В. Е. Слюсарчук, В. В. Investigation of a nonlinear difference equation in a Banach space in a neighborhood of a quasiperiodic solution |
| title | Investigation of a nonlinear difference equation in a Banach space in a neighborhood of a quasiperiodic solution |
| title_alt | Исследование нелинейного разностного уравнения в банаховом пространстве в окрестности квазипериодического
решения |
| title_full | Investigation of a nonlinear difference equation in a Banach space in a neighborhood of a quasiperiodic solution |
| title_fullStr | Investigation of a nonlinear difference equation in a Banach space in a neighborhood of a quasiperiodic solution |
| title_full_unstemmed | Investigation of a nonlinear difference equation in a Banach space in a neighborhood of a quasiperiodic solution |
| title_short | Investigation of a nonlinear difference equation in a Banach space in a neighborhood of a quasiperiodic solution |
| title_sort | investigation of a nonlinear difference equation in a banach space in a neighborhood of a quasiperiodic solution |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5171 |
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