Boundary Stabilization of a Semilinear Wave Equation with Variable Coefficients under the Time-Varying and Nonlinear Feedback
We study the boundary stabilization of a semilinear wave equation with variable coefficients under the time-varying and nonlinear feedback. By the Riemannian geometry methods, we obtain the stability results of the system under suitable assumptions of the bound of the time-varying term and the nonli...
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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/10.1155/2014/728760 |
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| _version_ | 1832545301078999040 |
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| author | Bei Gong Xiaopeng Zhao |
| author_facet | Bei Gong Xiaopeng Zhao |
| author_sort | Bei Gong |
| collection | DOAJ |
| description | We study the boundary stabilization of a semilinear wave equation with variable coefficients under the time-varying and nonlinear feedback. By the Riemannian geometry methods, we obtain the stability results of the system under suitable
assumptions of the bound of the time-varying term and the nonlinearity of the nonlinear term. |
| format | Article |
| id | doaj-art-4725e62f591a44c88d2da1af7446707e |
| 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-4725e62f591a44c88d2da1af7446707e2025-02-03T07:26:07ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/728760728760Boundary Stabilization of a Semilinear Wave Equation with Variable Coefficients under the Time-Varying and Nonlinear FeedbackBei Gong0Xiaopeng Zhao1College of Computer Science, Beijing University of Technology, Beijing 100124, ChinaSchool of Science, Jiangnan University, Wuxi, Jiangsu 214122, ChinaWe study the boundary stabilization of a semilinear wave equation with variable coefficients under the time-varying and nonlinear feedback. By the Riemannian geometry methods, we obtain the stability results of the system under suitable assumptions of the bound of the time-varying term and the nonlinearity of the nonlinear term.http://dx.doi.org/10.1155/2014/728760 |
| spellingShingle | Bei Gong Xiaopeng Zhao Boundary Stabilization of a Semilinear Wave Equation with Variable Coefficients under the Time-Varying and Nonlinear Feedback Abstract and Applied Analysis |
| title | Boundary Stabilization of a Semilinear Wave Equation with Variable Coefficients under the Time-Varying and Nonlinear Feedback |
| title_full | Boundary Stabilization of a Semilinear Wave Equation with Variable Coefficients under the Time-Varying and Nonlinear Feedback |
| title_fullStr | Boundary Stabilization of a Semilinear Wave Equation with Variable Coefficients under the Time-Varying and Nonlinear Feedback |
| title_full_unstemmed | Boundary Stabilization of a Semilinear Wave Equation with Variable Coefficients under the Time-Varying and Nonlinear Feedback |
| title_short | Boundary Stabilization of a Semilinear Wave Equation with Variable Coefficients under the Time-Varying and Nonlinear Feedback |
| title_sort | boundary stabilization of a semilinear wave equation with variable coefficients under the time varying and nonlinear feedback |
| url | http://dx.doi.org/10.1155/2014/728760 |
| work_keys_str_mv | AT beigong boundarystabilizationofasemilinearwaveequationwithvariablecoefficientsunderthetimevaryingandnonlinearfeedback AT xiaopengzhao boundarystabilizationofasemilinearwaveequationwithvariablecoefficientsunderthetimevaryingandnonlinearfeedback |