Exponential stability and numerical simulation of a Bresse-Timoshenko system subject to a neutral delay
In the present work, we consider a one-dimensional Bresse-Timoshenko system with neutral delay term and a viscous damping acting on vertical displacement of the beam. Under appropriate assumptions on the kernel of this kind of delay and based on the multipliers method, we construct a suitable Lyapun...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-06-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231038?viewType=HTML |
| _version_ | 1797788506935787520 |
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| author | Houssem Eddine Khochemane Ali Rezaiguia Hasan Nihal Zaidi |
| author_facet | Houssem Eddine Khochemane Ali Rezaiguia Hasan Nihal Zaidi |
| author_sort | Houssem Eddine Khochemane |
| collection | DOAJ |
| description | In the present work, we consider a one-dimensional Bresse-Timoshenko system with neutral delay term and a viscous damping acting on vertical displacement of the beam. Under appropriate assumptions on the kernel of this kind of delay and based on the multipliers method, we construct a suitable Lyapunov functional that allows us to establish an exponential decay of the energy in spite of the existence of the delay. Moreover, our result does not depend on any condition on the coefficients of the system. Finally, we present some numerical results to illustrate the theoretical result obtained. |
| first_indexed | 2024-03-13T01:36:33Z |
| format | Article |
| id | doaj.art-1f6a1ce300ae446da7e74f7348f31afa |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T01:36:33Z |
| publishDate | 2023-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-1f6a1ce300ae446da7e74f7348f31afa2023-07-04T01:39:05ZengAIMS PressAIMS Mathematics2473-69882023-06-0189203612037910.3934/math.20231038Exponential stability and numerical simulation of a Bresse-Timoshenko system subject to a neutral delayHoussem Eddine Khochemane0Ali Rezaiguia1Hasan Nihal Zaidi21. Higher Normal School of Technological Education of Skikda, Algeria2. Department of Mathematics, Faculty of Science, University of Ha'il, Ha'il 2440, Saudi Arabia 3. Department of Computer Science and Mathematics, Mouhamed Cherif Messadia University, Souk Ahras, Algeria2. Department of Mathematics, Faculty of Science, University of Ha'il, Ha'il 2440, Saudi ArabiaIn the present work, we consider a one-dimensional Bresse-Timoshenko system with neutral delay term and a viscous damping acting on vertical displacement of the beam. Under appropriate assumptions on the kernel of this kind of delay and based on the multipliers method, we construct a suitable Lyapunov functional that allows us to establish an exponential decay of the energy in spite of the existence of the delay. Moreover, our result does not depend on any condition on the coefficients of the system. Finally, we present some numerical results to illustrate the theoretical result obtained.https://www.aimspress.com/article/doi/10.3934/math.20231038?viewType=HTMLbresse-timoshenko systemneutral delayexponential stabilityenergy methodlyapunov functional |
| spellingShingle | Houssem Eddine Khochemane Ali Rezaiguia Hasan Nihal Zaidi Exponential stability and numerical simulation of a Bresse-Timoshenko system subject to a neutral delay AIMS Mathematics bresse-timoshenko system neutral delay exponential stability energy method lyapunov functional |
| title | Exponential stability and numerical simulation of a Bresse-Timoshenko system subject to a neutral delay |
| title_full | Exponential stability and numerical simulation of a Bresse-Timoshenko system subject to a neutral delay |
| title_fullStr | Exponential stability and numerical simulation of a Bresse-Timoshenko system subject to a neutral delay |
| title_full_unstemmed | Exponential stability and numerical simulation of a Bresse-Timoshenko system subject to a neutral delay |
| title_short | Exponential stability and numerical simulation of a Bresse-Timoshenko system subject to a neutral delay |
| title_sort | exponential stability and numerical simulation of a bresse timoshenko system subject to a neutral delay |
| topic | bresse-timoshenko system neutral delay exponential stability energy method lyapunov functional |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231038?viewType=HTML |
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