Nonlinear differential equations with asymptotically stable solutions
We establish conditions of asymptotic stability of all solutions of the equation \(\frac{{dx}}{{dt}} = A(x)x\) , t≥0in a Banach space E in the case where σ(A(x)⊂{λ:Reλ
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| Date: | 1998 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian 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/4960 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511149079920640 |
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| author | Slyusarchuk, V. E. Слюсарчук, В. Е. Слюсарчук, В. Е. |
| author_facet | Slyusarchuk, V. E. Слюсарчук, В. Е. Слюсарчук, В. Е. |
| author_sort | Slyusarchuk, V. E. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:20:56Z |
| description | We establish conditions of asymptotic stability of all solutions of the equation \(\frac{{dx}}{{dt}} = A(x)x\) , t≥0in a Banach space E in the case where σ(A(x)⊂{λ:Reλ |
| first_indexed | 2026-03-24T03:08:18Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4960 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:08:18Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/47/c26bea2b83e7fae21dd9b405519c4047.pdf |
| spelling | umjimathkievua-article-49602020-03-18T21:20:56Z Nonlinear differential equations with asymptotically stable solutions Нелинейные дифференциальные уравнения с асимптотически устойчивыми решениями Slyusarchuk, V. E. Слюсарчук, В. Е. Слюсарчук, В. Е. We establish conditions of asymptotic stability of all solutions of the equation \(\frac{{dx}}{{dt}} = A(x)x\) , t≥0in a Banach space E in the case where σ(A(x)⊂{λ:Reλ Встановлені умови асимптотичної стійкості всіх розв'язків рівняння $\frac{{dx}}{{dt}} = A(x)x$, $t ≥ 0$, у банаховому просторі $E$ у випадку $σ(A(x) ⊂ \{λ: Re λ < 0\} ∀x ∈ E$. Наведено приклад рівняння з нестійкими розв'язками. Institute of Mathematics, NAS of Ukraine 1998-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4960 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 2 (1998); 264–273 Український математичний журнал; Том 50 № 2 (1998); 264–273 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4960/6619 https://umj.imath.kiev.ua/index.php/umj/article/view/4960/6620 Copyright (c) 1998 Slyusarchuk V. E. |
| spellingShingle | Slyusarchuk, V. E. Слюсарчук, В. Е. Слюсарчук, В. Е. Nonlinear differential equations with asymptotically stable solutions |
| title | Nonlinear differential equations with asymptotically stable solutions |
| title_alt | Нелинейные дифференциальные уравнения с асимптотически устойчивыми решениями |
| title_full | Nonlinear differential equations with asymptotically stable solutions |
| title_fullStr | Nonlinear differential equations with asymptotically stable solutions |
| title_full_unstemmed | Nonlinear differential equations with asymptotically stable solutions |
| title_short | Nonlinear differential equations with asymptotically stable solutions |
| title_sort | nonlinear differential equations with asymptotically stable solutions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4960 |
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