Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay
In the paper, the well-posedness and asymptotic behavior of solutions to a flexible structure with thermodiffusion effects and distributed delay are studied. Under suitable assumptions on the weight of the damping and the weight of the distributed delay, we prove the existence and the uniqueness of...
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2023
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oai:jmag.ilt.kharkiv.ua:article-10222023-11-29T18:04:11Z Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay Douib, Madani Zitouni, Salah Djebabla, Abdelhak гнучка структура термодифузiйнi ефекти розподiлене загаювання коректнiсть експоненцiальна стабiльнiсть flexible structure thermodiffusion effects distributed delay well-posedness exponential stability In the paper, the well-posedness and asymptotic behavior of solutions to a flexible structure with thermodiffusion effects and distributed delay are studied. Under suitable assumptions on the weight of the damping and the weight of the distributed delay, we prove the existence and the uniqueness of the solution using the semigroup theory. Then, by using the perturbed energy method and constructing some Lyapunov functionals, we obtain the exponential decay of the solution. Mathematical Subject Classification 2020: 37C75, 93D05. У статтi дослiджується коректнiсть та асимптотика розв’язкiв для гнучкої структури з ефектами термодифузiї та розподiленого загаювання. За вiдповiдних припущень щодо ваги демпфування та ваги розподiленого загаювання, доведено iснування i єдинiсть розв’язку з використанням теорiї пiвгруп. Далi за допомогою методу збуреної енергiї та побудови деяких функцiоналiв Ляпунова доведено експоненцiальну спаднiсть розв’язку. Mathematical Subject Classification 2020: 37C75, 93D05. Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2023-11-29 Article Article application/pdf https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1022 10.15407/mag19.03.587 Journal of Mathematical Physics, Analysis, Geometry; Vol. 19 No. 3 (2023); 587-602 Журнал математической физики, анализа, геометрии; Том 19 № 3 (2023); 587-602 Журнал математичної фізики, аналізу, геометрії; Том 19 № 3 (2023); 587-602 1817-5805 1812-9471 en https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1022/jm19-0587e |
| institution |
Journal of Mathematical Physics, Analysis, Geometry |
| baseUrl_str |
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| datestamp_date |
2023-11-29T18:04:11Z |
| collection |
OJS |
| language |
English |
| topic |
гнучка структура термодифузiйнi ефекти розподiлене загаювання коректнiсть експоненцiальна стабiльнiсть |
| spellingShingle |
гнучка структура термодифузiйнi ефекти розподiлене загаювання коректнiсть експоненцiальна стабiльнiсть Douib, Madani Zitouni, Salah Djebabla, Abdelhak Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay |
| topic_facet |
гнучка структура термодифузiйнi ефекти розподiлене загаювання коректнiсть експоненцiальна стабiльнiсть flexible structure thermodiffusion effects distributed delay well-posedness exponential stability |
| format |
Article |
| author |
Douib, Madani Zitouni, Salah Djebabla, Abdelhak |
| author_facet |
Douib, Madani Zitouni, Salah Djebabla, Abdelhak |
| author_sort |
Douib, Madani |
| title |
Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay |
| title_short |
Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay |
| title_full |
Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay |
| title_fullStr |
Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay |
| title_full_unstemmed |
Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay |
| title_sort |
exponential stability for a flexible structure system with thermodiffusion effects and distributed delay |
| title_alt |
Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay |
| description |
In the paper, the well-posedness and asymptotic behavior of solutions to a flexible structure with thermodiffusion effects and distributed delay are studied. Under suitable assumptions on the weight of the damping and the weight of the distributed delay, we prove the existence and the uniqueness of the solution using the semigroup theory. Then, by using the perturbed energy method and constructing some Lyapunov functionals, we obtain the exponential decay of the solution.
Mathematical Subject Classification 2020: 37C75, 93D05. |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України |
| publishDate |
2023 |
| url |
https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1022 |
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AT douibmadani exponentialstabilityforaflexiblestructuresystemwiththermodiffusioneffectsanddistributeddelay AT zitounisalah exponentialstabilityforaflexiblestructuresystemwiththermodiffusioneffectsanddistributeddelay AT djebablaabdelhak exponentialstabilityforaflexiblestructuresystemwiththermodiffusioneffectsanddistributeddelay |
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2025-09-26T01:40:38Z |
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2025-09-26T01:40:38Z |
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