Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus
Sufficient conditions of reducibility of the nonlinear system of difference equations $x(t + 1) = x(t) + \omega + P(x(t), t) + \lambda$, to the system $y(t + 1) = y(t) + \omega$ are found; here, $x, \omega, \lambda \in \textbf{m}$, and the infinite-dimensional vector function $P(x(t),t)$ is $2\pi...
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| Date: | 1994 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5638 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511868311830528 |
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| author | Martynyuk, D. I. Perestyuk, N. A. Samoilenko, A. M. Мартинюк, Д. І. Перестюк, М. О. Самойленко, А. М. |
| author_facet | Martynyuk, D. I. Perestyuk, N. A. Samoilenko, A. M. Мартинюк, Д. І. Перестюк, М. О. Самойленко, А. М. |
| author_sort | Martynyuk, D. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:14:58Z |
| description | Sufficient conditions of reducibility of the nonlinear system of difference equations $x(t + 1) = x(t) + \omega + P(x(t), t) + \lambda$,
to the system $y(t + 1) = y(t) + \omega$ are found; here, $x, \omega, \lambda \in \textbf{m}$,
and the infinite-dimensional vector function $P(x(t),t)$ is $2\pi t$ - periodic in $x_i\; (i = 1,2,...)$ and almost periodic in $t$ with the frequency basis $\alpha$. |
| first_indexed | 2026-03-24T03:19:44Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5638 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:19:44Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b7/60729782844fce7385396773ad3995b7.pdf |
| spelling | umjimathkievua-article-56382020-03-19T09:14:58Z Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus Приводимость нелинейных почти периодических систем разностных уравнений, заданных па бесконечномерном торе Martynyuk, D. I. Perestyuk, N. A. Samoilenko, A. M. Мартинюк, Д. І. Перестюк, М. О. Самойленко, А. М. Sufficient conditions of reducibility of the nonlinear system of difference equations $x(t + 1) = x(t) + \omega + P(x(t), t) + \lambda$, to the system $y(t + 1) = y(t) + \omega$ are found; here, $x, \omega, \lambda \in \textbf{m}$, and the infinite-dimensional vector function $P(x(t),t)$ is $2\pi t$ - periodic in $x_i\; (i = 1,2,...)$ and almost periodic in $t$ with the frequency basis $\alpha$. Institute of Mathematics, NAS of Ukraine 1994-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5638 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 9 (1994); 1216–1223 Український математичний журнал; Том 46 № 9 (1994); 1216–1223 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5638/7961 https://umj.imath.kiev.ua/index.php/umj/article/view/5638/7962 Copyright (c) 1994 Martynyuk D. I.; Perestyuk N. A.; Samoilenko A. M. |
| spellingShingle | Martynyuk, D. I. Perestyuk, N. A. Samoilenko, A. M. Мартинюк, Д. І. Перестюк, М. О. Самойленко, А. М. Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus |
| title | Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus |
| title_alt | Приводимость нелинейных почти периодических систем разностных уравнений, заданных па бесконечномерном торе |
| title_full | Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus |
| title_fullStr | Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus |
| title_full_unstemmed | Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus |
| title_short | Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus |
| title_sort | reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5638 |
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