On the erugin and floquet-lyapunov theorems for countable systems of difference equations
For linear difference equations in the space of bounded number sequences, we prove an analog of the Erugin theorem on reducibility and present sufficient conditions for the reducibility of countable linear systems of difference equations with periodic coefficients.
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| Datum: | 1996 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1996
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5354 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511580712599552 |
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| author | Teplins’kyi, O. Yu. Teplinsky, Yu. V. Теплинский, О. Ю. Теплинский, Ю. В. Теплинский, О. Ю. Теплинский, Ю. В. |
| author_facet | Teplins’kyi, O. Yu. Teplinsky, Yu. V. Теплинский, О. Ю. Теплинский, Ю. В. Теплинский, О. Ю. Теплинский, Ю. В. |
| author_sort | Teplins’kyi, O. Yu. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:30:56Z |
| description | For linear difference equations in the space of bounded number sequences, we prove an analog of the Erugin theorem on reducibility and present sufficient conditions for the reducibility of countable linear systems of difference equations with periodic coefficients. |
| first_indexed | 2026-03-24T03:15:09Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5354 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:15:09Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/bb/ad257c2f202add92420ada21c61548bb.pdf |
| spelling | umjimathkievua-article-53542020-03-18T21:30:56Z On the erugin and floquet-lyapunov theorems for countable systems of difference equations О теоремах Еругина и Флокэ - Ляпунова для счетных систем разностных уравнений Teplins’kyi, O. Yu. Teplinsky, Yu. V. Теплинский, О. Ю. Теплинский, Ю. В. Теплинский, О. Ю. Теплинский, Ю. В. For linear difference equations in the space of bounded number sequences, we prove an analog of the Erugin theorem on reducibility and present sufficient conditions for the reducibility of countable linear systems of difference equations with periodic coefficients. Для лінійних різницевих рівнянь у просторі обмежених числових послідовностей доведено аналог теореми Єругіна про звідність. Наведено достатні умови звідності зчисленних лінійних систем різницевих рівнянь з періодичними коефіцієнтами. Institute of Mathematics, NAS of Ukraine 1996-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5354 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 2 (1996); 278-284 Український математичний журнал; Том 48 № 2 (1996); 278-284 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5354/7399 https://umj.imath.kiev.ua/index.php/umj/article/view/5354/7400 Copyright (c) 1996 Teplins’kyi O. Yu.; Teplinsky Yu. V. |
| spellingShingle | Teplins’kyi, O. Yu. Teplinsky, Yu. V. Теплинский, О. Ю. Теплинский, Ю. В. Теплинский, О. Ю. Теплинский, Ю. В. On the erugin and floquet-lyapunov theorems for countable systems of difference equations |
| title | On the erugin and floquet-lyapunov theorems for countable systems of difference equations |
| title_alt | О теоремах Еругина и Флокэ - Ляпунова для счетных систем разностных уравнений |
| title_full | On the erugin and floquet-lyapunov theorems for countable systems of difference equations |
| title_fullStr | On the erugin and floquet-lyapunov theorems for countable systems of difference equations |
| title_full_unstemmed | On the erugin and floquet-lyapunov theorems for countable systems of difference equations |
| title_short | On the erugin and floquet-lyapunov theorems for countable systems of difference equations |
| title_sort | on the erugin and floquet-lyapunov theorems for countable systems of difference equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5354 |
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