On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations
The paper is concerned with the exponential stability of the zero solution of strongly nonautonomous parabolic equations. Conditions are found on time-dependent coefficients of a parabolic equation under which its solutions converge exponentially to 0 as t → ∞.
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| Datum: | 2002 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4212 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510343399211008 |
|---|---|
| author | Nguyen, Manh Hung Tran, Thi Loan Нгуєн, Мань Хунг Тран, Тхі Лоан |
| author_facet | Nguyen, Manh Hung Tran, Thi Loan Нгуєн, Мань Хунг Тран, Тхі Лоан |
| author_sort | Nguyen, Manh Hung |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:24:06Z |
| description | The paper is concerned with the exponential stability of the zero solution of strongly nonautonomous parabolic equations. Conditions are found on time-dependent coefficients of a parabolic equation under which its solutions converge exponentially to 0 as t → ∞. |
| first_indexed | 2026-03-24T02:55:29Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4212 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:55:29Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e4/9c72bbfdebcfd16deb2f0b27d69d17e4.pdf |
| spelling | umjimathkievua-article-42122020-03-18T20:24:06Z On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations Про стійкість напівлінійних неавтономних еволюційних рівнянь у банахових просторах та її застосування до сильно параболічних рівнянь Nguyen, Manh Hung Tran, Thi Loan Нгуєн, Мань Хунг Тран, Тхі Лоан The paper is concerned with the exponential stability of the zero solution of strongly nonautonomous parabolic equations. Conditions are found on time-dependent coefficients of a parabolic equation under which its solutions converge exponentially to 0 as t → ∞. Розглядається експоненціальна стійкість нульового розв'язку сильно неавтономних параболічних рівнянь. Знайдено умови для залежних від часу коефіцієнтів параболічного рівняння, при яких його розв'язки експоненціально збігаються до 0 при t → ∞. Institute of Mathematics, NAS of Ukraine 2002-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4212 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 12 (2002); 1714-1719 Український математичний журнал; Том 54 № 12 (2002); 1714-1719 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/4212/5131 https://umj.imath.kiev.ua/index.php/umj/article/view/4212/5132 Copyright (c) 2002 Nguyen Manh Hung; Tran Thi Loan |
| spellingShingle | Nguyen, Manh Hung Tran, Thi Loan Нгуєн, Мань Хунг Тран, Тхі Лоан On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations |
| title | On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations |
| title_alt | Про стійкість напівлінійних неавтономних еволюційних рівнянь у банахових просторах та її застосування до сильно параболічних рівнянь |
| title_full | On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations |
| title_fullStr | On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations |
| title_full_unstemmed | On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations |
| title_short | On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations |
| title_sort | on the stability of semilinear nonautonomous evolution equations in banach spaces and its application to strongly parabolic equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4212 |
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