On linear homogeneous almost periodic systems that satisfy the Favard condition
We prove the existence of a linear homogeneous almost periodic system of differential equations that has nontrivial bounded solutions and is such that all systems from a certain neighborhood of it have no nontrivial almost periodic solutions.
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| Date: | 1998 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4940 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865792119181934592 |
|---|---|
| author | Tkachenko, V. I. Ткаченко, В. І. |
| author_facet | Tkachenko, V. I. Ткаченко, В. І. |
| author_institution_txt_mv | [
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"author": "В. І. Ткаченко",
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| author_sort | Tkachenko, V. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:17:35Z |
| description | We prove the existence of a linear homogeneous almost periodic system of differential equations that has nontrivial bounded solutions and is such that all systems from a certain neighborhood of it have no nontrivial almost periodic solutions. |
| first_indexed | 2026-03-24T03:07:53Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4940 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:07:53Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a3/d19700931848a8bb13e23406754147a3.pdf |
| spelling | umjimathkievua-article-49402020-03-18T21:17:35Z On linear homogeneous almost periodic systems that satisfy the Favard condition Про лінійні однорідні майже періодичні системи, які задовольняють умову Фавара Tkachenko, V. I. Ткаченко, В. І. We prove the existence of a linear homogeneous almost periodic system of differential equations that has nontrivial bounded solutions and is such that all systems from a certain neighborhood of it have no nontrivial almost periodic solutions. Доведено існування лінійної однорідної майже періодичної системи диференціальних рівнянь з нетривіальними обмеженими розв'язками такої, що всі системи з деякого її околу не мають нетривіальних майже періодичних розв'язків. Institute of Mathematics, NAS of Ukraine 1998-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4940 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 3 (1998); 409–413 Український математичний журнал; Том 50 № 3 (1998); 409–413 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4940/6579 https://umj.imath.kiev.ua/index.php/umj/article/view/4940/6580 Copyright (c) 1998 Tkachenko V. I. |
| spellingShingle | Tkachenko, V. I. Ткаченко, В. І. On linear homogeneous almost periodic systems that satisfy the Favard condition |
| title | On linear homogeneous almost periodic systems that satisfy the Favard condition |
| title_alt | Про лінійні однорідні майже періодичні системи, які задовольняють умову Фавара |
| title_full | On linear homogeneous almost periodic systems that satisfy the Favard condition |
| title_fullStr | On linear homogeneous almost periodic systems that satisfy the Favard condition |
| title_full_unstemmed | On linear homogeneous almost periodic systems that satisfy the Favard condition |
| title_short | On linear homogeneous almost periodic systems that satisfy the Favard condition |
| title_sort | on linear homogeneous almost periodic systems that satisfy the favard condition |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4940 |
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