A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms
We consider a one-dimensional linear thermoelastic Bresse system with delay term, forcing, and infinity history acting on the shear angle displacement. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/9962569 |
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| _version_ | 1832546990654750720 |
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| author | Djamel Ouchenane Zineb Khalili Fares Yazid Mohamed Abdalla Bahri Belkacem Cherif Ibrahim Mekawy |
| author_facet | Djamel Ouchenane Zineb Khalili Fares Yazid Mohamed Abdalla Bahri Belkacem Cherif Ibrahim Mekawy |
| author_sort | Djamel Ouchenane |
| collection | DOAJ |
| description | We consider a one-dimensional linear thermoelastic Bresse system with delay term, forcing, and infinity history acting on the shear angle displacement. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method, where an asymptotic stability result of global solution is obtained. |
| format | Article |
| id | doaj-art-0cddb9609a9f4cff939fe5b8917eb366 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0cddb9609a9f4cff939fe5b8917eb3662025-02-03T06:46:15ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/99625699962569A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History TermsDjamel Ouchenane0Zineb Khalili1Fares Yazid2Mohamed Abdalla3Bahri Belkacem Cherif4Ibrahim Mekawy5Laboratory of Pure and Applied Mathematics, University of Laghouat, AlgeriaLaboratory of Pure and Applied Mathematics, University of Laghouat, AlgeriaLaboratory of Pure and Applied Mathematics, University of Laghouat, AlgeriaMathematics Department, Faculty of Science, King Khalid University, Abha 61471, Saudi ArabiaPreparatory Institute for Engineering Studies in Sfax, TunisiaDepartment of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi ArabiaWe consider a one-dimensional linear thermoelastic Bresse system with delay term, forcing, and infinity history acting on the shear angle displacement. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method, where an asymptotic stability result of global solution is obtained.http://dx.doi.org/10.1155/2021/9962569 |
| spellingShingle | Djamel Ouchenane Zineb Khalili Fares Yazid Mohamed Abdalla Bahri Belkacem Cherif Ibrahim Mekawy A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms Journal of Function Spaces |
| title | A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms |
| title_full | A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms |
| title_fullStr | A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms |
| title_full_unstemmed | A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms |
| title_short | A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms |
| title_sort | new result of stability for thermoelastic bresse system of second sound related with forcing delay and past history terms |
| url | http://dx.doi.org/10.1155/2021/9962569 |
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