On periodic solutions of countable systems of linear and quasilinear difference equations with periodic coefficients
We present conditions for the existence of periodic solutions of linear difference equations with periodic coefficients in spaces of bounded number sequences. In the case where the generating linear equation has a unique periodic solution, we indicate sufficient conditions for the existence of a per...
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| Date: | 1996 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5258 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511475441860608 |
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| author | Samoilenko, M. V. Teplinsky, Yu. V. Самойленко, М. В. Теплинский, Ю. В. Самойленко, М. В. Теплинский, Ю. В. |
| author_facet | Samoilenko, M. V. Teplinsky, Yu. V. Самойленко, М. В. Теплинский, Ю. В. Самойленко, М. В. Теплинский, Ю. В. |
| author_sort | Samoilenko, M. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:28:48Z |
| description | We present conditions for the existence of periodic solutions of linear difference equations with periodic coefficients in spaces of bounded number sequences. In the case where the generating linear equation has a unique periodic solution, we indicate sufficient conditions for the existence of a periodic solution of a quasilinear difference equation. |
| first_indexed | 2026-03-24T03:13:29Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5258 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:13:29Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/4f/8498690aeb900d5b26a61f9c0525154f.pdf |
| spelling | umjimathkievua-article-52582020-03-18T21:28:48Z On periodic solutions of countable systems of linear and quasilinear difference equations with periodic coefficients О периодических решениях счетных систем линейных и квазилинейных разностных уравнений с периодическими коэффициентами Samoilenko, M. V. Teplinsky, Yu. V. Самойленко, М. В. Теплинский, Ю. В. Самойленко, М. В. Теплинский, Ю. В. We present conditions for the existence of periodic solutions of linear difference equations with periodic coefficients in spaces of bounded number sequences. In the case where the generating linear equation has a unique periodic solution, we indicate sufficient conditions for the existence of a periodic solution of a quasilinear difference equation. Наведено умови існування періодичних розв'язків лінійних різницевих рівнянь з періодичними коефіцієнтами в просторах обмежених числових послідовностей. Для квазілінійиого різницевого рівняння вказано достатні умови існування періодичного розв'язку у випадку, коли породжуюче лінійне рівняння має єдииий періодичний розв'язок. Institute of Mathematics, NAS of Ukraine 1996-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5258 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 8 (1996); 1144-1152 Український математичний журнал; Том 48 № 8 (1996); 1144-1152 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5258/7208 https://umj.imath.kiev.ua/index.php/umj/article/view/5258/7209 Copyright (c) 1996 Samoilenko M. V.; Teplinsky Yu. V. |
| spellingShingle | Samoilenko, M. V. Teplinsky, Yu. V. Самойленко, М. В. Теплинский, Ю. В. Самойленко, М. В. Теплинский, Ю. В. On periodic solutions of countable systems of linear and quasilinear difference equations with periodic coefficients |
| title | On periodic solutions of countable systems of linear and quasilinear difference equations with periodic coefficients |
| title_alt | О периодических решениях счетных систем линейных и квазилинейных разностных уравнений с периодическими коэффициентами |
| title_full | On periodic solutions of countable systems of linear and quasilinear difference equations with periodic coefficients |
| title_fullStr | On periodic solutions of countable systems of linear and quasilinear difference equations with periodic coefficients |
| title_full_unstemmed | On periodic solutions of countable systems of linear and quasilinear difference equations with periodic coefficients |
| title_short | On periodic solutions of countable systems of linear and quasilinear difference equations with periodic coefficients |
| title_sort | on periodic solutions of countable systems of linear and quasilinear difference equations with periodic coefficients |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5258 |
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