On a Nonhomogeneous Timoshenko System with Nonlocal Constraints
Our main concern in this paper is to prove the well posedness of a nonhomogeneous Timoshenko system with two damping terms. The system is supplemented by some initial and nonlocal boundary conditions of integral type. The uniqueness and continuous dependence of the solution on the given data follow...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6674060 |
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| _version_ | 1832551324477030400 |
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| author | Said Mesloub Faten Aldosari |
| author_facet | Said Mesloub Faten Aldosari |
| author_sort | Said Mesloub |
| collection | DOAJ |
| description | Our main concern in this paper is to prove the well posedness of a nonhomogeneous Timoshenko system with two damping terms. The system is supplemented by some initial and nonlocal boundary conditions of integral type. The uniqueness and continuous dependence of the solution on the given data follow from some established a priori bounds, and the proof of the existence of the solution is based on some density arguments. |
| format | Article |
| id | doaj-art-78cec3ff571d4ebe97a7ef832a45a054 |
| 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-78cec3ff571d4ebe97a7ef832a45a0542025-02-03T06:01:48ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66740606674060On a Nonhomogeneous Timoshenko System with Nonlocal ConstraintsSaid Mesloub0Faten Aldosari1Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaMathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaOur main concern in this paper is to prove the well posedness of a nonhomogeneous Timoshenko system with two damping terms. The system is supplemented by some initial and nonlocal boundary conditions of integral type. The uniqueness and continuous dependence of the solution on the given data follow from some established a priori bounds, and the proof of the existence of the solution is based on some density arguments.http://dx.doi.org/10.1155/2021/6674060 |
| spellingShingle | Said Mesloub Faten Aldosari On a Nonhomogeneous Timoshenko System with Nonlocal Constraints Journal of Function Spaces |
| title | On a Nonhomogeneous Timoshenko System with Nonlocal Constraints |
| title_full | On a Nonhomogeneous Timoshenko System with Nonlocal Constraints |
| title_fullStr | On a Nonhomogeneous Timoshenko System with Nonlocal Constraints |
| title_full_unstemmed | On a Nonhomogeneous Timoshenko System with Nonlocal Constraints |
| title_short | On a Nonhomogeneous Timoshenko System with Nonlocal Constraints |
| title_sort | on a nonhomogeneous timoshenko system with nonlocal constraints |
| url | http://dx.doi.org/10.1155/2021/6674060 |
| work_keys_str_mv | AT saidmesloub onanonhomogeneoustimoshenkosystemwithnonlocalconstraints AT fatenaldosari onanonhomogeneoustimoshenkosystemwithnonlocalconstraints |