Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms
The initial-boundary value problem for a class of nonlinear wave equations system in bounded domain is studied. The existence of global solutions for this problem is proved by constructing a stable set and obtain the asymptotic stability of global solutions through the use of a difference inequality...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/903625 |
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| _version_ | 1841524624411590656 |
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| author | Yaojun Ye |
| author_facet | Yaojun Ye |
| author_sort | Yaojun Ye |
| collection | DOAJ |
| description | The initial-boundary value problem for a class of nonlinear wave equations system in bounded domain is studied. The existence of global solutions for this problem is proved by constructing a stable set and obtain the asymptotic stability of global solutions through the use of a difference inequality. |
| format | Article |
| id | doaj-art-5ecd89c71a544a89922e69e2f040558b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5ecd89c71a544a89922e69e2f040558b2025-02-03T05:47:49ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/903625903625Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source TermsYaojun Ye0Department of Mathematics and Information Science, Zhejiang University of Science and Technology, Hangzhou 310023, ChinaThe initial-boundary value problem for a class of nonlinear wave equations system in bounded domain is studied. The existence of global solutions for this problem is proved by constructing a stable set and obtain the asymptotic stability of global solutions through the use of a difference inequality.http://dx.doi.org/10.1155/2013/903625 |
| spellingShingle | Yaojun Ye Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms Abstract and Applied Analysis |
| title | Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms |
| title_full | Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms |
| title_fullStr | Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms |
| title_full_unstemmed | Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms |
| title_short | Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms |
| title_sort | existence and decay estimate of global solutions to systems of nonlinear wave equations with damping and source terms |
| url | http://dx.doi.org/10.1155/2013/903625 |
| work_keys_str_mv | AT yaojunye existenceanddecayestimateofglobalsolutionstosystemsofnonlinearwaveequationswithdampingandsourceterms |