Polynomial Decay Rate for a Coupled Lamé System with Viscoelastic Damping and Distributed Delay Terms
In this paper, we prove a general energy decay results of a coupled Lamé system with distributed time delay. By assuming a more general of relaxation functions and using some properties of convex functions, we establish the general energy decay results to the system by using an appropriate Lyapunov...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/8879366 |
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| author | Nadjat Doudi Salah Mahmoud Boulaaras Ahmad Mohammed Alghamdi Bahri Cherif |
| author_facet | Nadjat Doudi Salah Mahmoud Boulaaras Ahmad Mohammed Alghamdi Bahri Cherif |
| author_sort | Nadjat Doudi |
| collection | DOAJ |
| description | In this paper, we prove a general energy decay results of a coupled Lamé system with distributed time delay. By assuming a more general of relaxation functions and using some properties of convex functions, we establish the general energy decay results to the system by using an appropriate Lyapunov functional. |
| format | Article |
| id | doaj-art-bbbcbb25d4dc4e159c766b0a2c5e8d10 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-bbbcbb25d4dc4e159c766b0a2c5e8d102025-02-03T06:45:52ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/88793668879366Polynomial Decay Rate for a Coupled Lamé System with Viscoelastic Damping and Distributed Delay TermsNadjat Doudi0Salah Mahmoud Boulaaras1Ahmad Mohammed Alghamdi2Bahri Cherif3Laboratory of Applied Mathematics, “LMA” Mohamed Khider University, Box. 145 rp, 07000 Biskra, AlgeriaDepartment of Mathematics, College of Sciences and Arts, Qassim University, Ar-Ras, Buraidah, Saudi ArabiaDepartment of Mathematical Sciences, College of Applied Science, Umm Al-Qura University, Makkah, Saudi ArabiaDepartment of Mathematics, College of Sciences and Arts, Qassim University, Ar-Ras, Buraidah, Saudi ArabiaIn this paper, we prove a general energy decay results of a coupled Lamé system with distributed time delay. By assuming a more general of relaxation functions and using some properties of convex functions, we establish the general energy decay results to the system by using an appropriate Lyapunov functional.http://dx.doi.org/10.1155/2020/8879366 |
| spellingShingle | Nadjat Doudi Salah Mahmoud Boulaaras Ahmad Mohammed Alghamdi Bahri Cherif Polynomial Decay Rate for a Coupled Lamé System with Viscoelastic Damping and Distributed Delay Terms Journal of Function Spaces |
| title | Polynomial Decay Rate for a Coupled Lamé System with Viscoelastic Damping and Distributed Delay Terms |
| title_full | Polynomial Decay Rate for a Coupled Lamé System with Viscoelastic Damping and Distributed Delay Terms |
| title_fullStr | Polynomial Decay Rate for a Coupled Lamé System with Viscoelastic Damping and Distributed Delay Terms |
| title_full_unstemmed | Polynomial Decay Rate for a Coupled Lamé System with Viscoelastic Damping and Distributed Delay Terms |
| title_short | Polynomial Decay Rate for a Coupled Lamé System with Viscoelastic Damping and Distributed Delay Terms |
| title_sort | polynomial decay rate for a coupled lame system with viscoelastic damping and distributed delay terms |
| url | http://dx.doi.org/10.1155/2020/8879366 |
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