Stability of a Class of Coupled Systems
We consider a class of coupled systems with damping terms. By using multiplier method and the estimation techniques of the energy, we show that even if the kernel function is nonincreasing and integrable without additional conditions, the energy of the system decays also to zero in a good rate.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/835765 |
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| _version_ | 1849411503019524096 |
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| author | Kun-Peng Jin |
| author_facet | Kun-Peng Jin |
| author_sort | Kun-Peng Jin |
| collection | DOAJ |
| description | We consider a class of coupled systems with damping terms. By using multiplier method and the estimation techniques of the energy, we show that even if the kernel function is nonincreasing and integrable without additional conditions, the energy of the system decays also to zero in a good rate. |
| format | Article |
| id | doaj-art-5d9399ae95a54a3fa94b2265a8f3c5ea |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5d9399ae95a54a3fa94b2265a8f3c5ea2025-08-20T03:34:45ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/835765835765Stability of a Class of Coupled SystemsKun-Peng Jin0School of Mathematical Sciences, Fudan University, Shanghai 200433, ChinaWe consider a class of coupled systems with damping terms. By using multiplier method and the estimation techniques of the energy, we show that even if the kernel function is nonincreasing and integrable without additional conditions, the energy of the system decays also to zero in a good rate.http://dx.doi.org/10.1155/2014/835765 |
| spellingShingle | Kun-Peng Jin Stability of a Class of Coupled Systems Abstract and Applied Analysis |
| title | Stability of a Class of Coupled Systems |
| title_full | Stability of a Class of Coupled Systems |
| title_fullStr | Stability of a Class of Coupled Systems |
| title_full_unstemmed | Stability of a Class of Coupled Systems |
| title_short | Stability of a Class of Coupled Systems |
| title_sort | stability of a class of coupled systems |
| url | http://dx.doi.org/10.1155/2014/835765 |
| work_keys_str_mv | AT kunpengjin stabilityofaclassofcoupledsystems |