Reducibility of nonlinear almost periodic systems of difference equations given on a torus
Sufficient conditions are established for the reducibility of a nonlinear system of difference equations $$x(x + 1) = x(1) + \omega + P(x(t), t) + \lambda,$$ where $P(x, t)$ is a function $2\pi$-periodic in $x_i(i = 1,..., n)$ and almost periodic in $t$ with a frequency basis $\alpha$, to the syste...
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| Date: | 1994 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Russian 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/5737 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511960889556992 |
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| author | Martynyuk, D. I. Perestyuk, N. A. Samoilenko, A. M. Мартынюк, Д. И. Перестюк, Н. А. Самойленко, А. М. Мартынюк, Д. И. Перестюк, Н. А. Самойленко, А. М. |
| author_facet | Martynyuk, D. I. Perestyuk, N. A. Samoilenko, A. M. Мартынюк, Д. И. Перестюк, Н. А. Самойленко, А. М. Мартынюк, Д. И. Перестюк, Н. А. Самойленко, А. М. |
| author_sort | Martynyuk, D. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T10:06:05Z |
| description | Sufficient conditions are established for the reducibility of a nonlinear system of difference equations
$$x(x + 1) = x(1) + \omega + P(x(t), t) + \lambda,$$
where $P(x, t)$ is a function $2\pi$-periodic in $x_i(i = 1,..., n)$ and almost periodic in $t$ with a frequency basis $\alpha$, to the system
$$y(t + 1) = y(t) + \omega.$$ |
| first_indexed | 2026-03-24T03:21:12Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5737 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:21:12Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/42/1a0944f9e5c3b1652d2a398068df9c42.pdf |
| spelling | umjimathkievua-article-57372020-03-19T10:06:05Z Reducibility of nonlinear almost periodic systems of difference equations given on a torus Приводимость нелинейных почти периодических систем разностных уравнений, заданных на торе Martynyuk, D. I. Perestyuk, N. A. Samoilenko, A. M. Мартынюк, Д. И. Перестюк, Н. А. Самойленко, А. М. Мартынюк, Д. И. Перестюк, Н. А. Самойленко, А. М. Sufficient conditions are established for the reducibility of a nonlinear system of difference equations $$x(x + 1) = x(1) + \omega + P(x(t), t) + \lambda,$$ where $P(x, t)$ is a function $2\pi$-periodic in $x_i(i = 1,..., n)$ and almost periodic in $t$ with a frequency basis $\alpha$, to the system $$y(t + 1) = y(t) + \omega.$$ Вказані достатні умови звідності нелінійної системи різницевих рівнянь $$x(x + 1) = x(1) + \omega + P(x(t), t) + \lambda,$$ де $P(x, t)$ періодична но $x_i(i = 1,..., n)$ з періодом $2\pi$ і майже періодична по $t$ з базисом частот $\alpha$, до системи $$y(t + 1) = y(t) + \omega.$$ Institute of Mathematics, NAS of Ukraine 1994-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5737 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 4 (1994); 404–410 Український математичний журнал; Том 46 № 4 (1994); 404–410 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5737/8159 https://umj.imath.kiev.ua/index.php/umj/article/view/5737/8160 Copyright (c) 1994 Martynyuk D. I.; Perestyuk N. A.; Samoilenko A. M. |
| spellingShingle | Martynyuk, D. I. Perestyuk, N. A. Samoilenko, A. M. Мартынюк, Д. И. Перестюк, Н. А. Самойленко, А. М. Мартынюк, Д. И. Перестюк, Н. А. Самойленко, А. М. Reducibility of nonlinear almost periodic systems of difference equations given on a torus |
| title | Reducibility of nonlinear almost periodic systems of difference equations given on a torus |
| title_alt | Приводимость нелинейных почти периодических систем разностных уравнений, заданных на торе |
| title_full | Reducibility of nonlinear almost periodic systems of difference equations given on a torus |
| title_fullStr | Reducibility of nonlinear almost periodic systems of difference equations given on a torus |
| title_full_unstemmed | Reducibility of nonlinear almost periodic systems of difference equations given on a torus |
| title_short | Reducibility of nonlinear almost periodic systems of difference equations given on a torus |
| title_sort | reducibility of nonlinear almost periodic systems of difference equations given on a torus |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5737 |
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