Global Existence and Decay for a System of Two Singular Nonlinear Viscoelastic Equations with General Source and Localized Frictional Damping Terms
The current paper deals with the proof of a global solution of a viscoelasticity singular one-dimensional system with localized frictional damping and general source terms, taking into consideration nonlocal boundary condition. Moreover, similar to that in Boulaaras’ recent studies by constructing a...
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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/10.1155/2020/5085101 |
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| _version_ | 1849307932551806976 |
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| author | Salah Mahmoud Boulaaras Rafik Guefaifia Nadia Mezouar Ahmad Mohammed Alghamdi |
| author_facet | Salah Mahmoud Boulaaras Rafik Guefaifia Nadia Mezouar Ahmad Mohammed Alghamdi |
| author_sort | Salah Mahmoud Boulaaras |
| collection | DOAJ |
| description | The current paper deals with the proof of a global solution of a viscoelasticity singular one-dimensional system with localized frictional damping and general source terms, taking into consideration nonlocal boundary condition. Moreover, similar to that in Boulaaras’ recent studies by constructing a Lyapunov functional and use it together with the perturbed energy method in order to prove a general decay result. |
| format | Article |
| id | doaj-art-1dca9413907442558a2e089e5aabe7fe |
| 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-1dca9413907442558a2e089e5aabe7fe2025-08-20T03:54:37ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/50851015085101Global Existence and Decay for a System of Two Singular Nonlinear Viscoelastic Equations with General Source and Localized Frictional Damping TermsSalah Mahmoud Boulaaras0Rafik Guefaifia1Nadia Mezouar2Ahmad Mohammed Alghamdi3Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, Saudi ArabiaDepartment of Mathematics, College of Exact Sciences, University of Tebessa, Tebessa 12002, AlgeriaMascara University, Faculty of Economics, Mascara, AlgeriaDepartment of Mathematical Sciences, College of Applied Science, Umm Al-Qura University, Saudi ArabiaThe current paper deals with the proof of a global solution of a viscoelasticity singular one-dimensional system with localized frictional damping and general source terms, taking into consideration nonlocal boundary condition. Moreover, similar to that in Boulaaras’ recent studies by constructing a Lyapunov functional and use it together with the perturbed energy method in order to prove a general decay result.http://dx.doi.org/10.1155/2020/5085101 |
| spellingShingle | Salah Mahmoud Boulaaras Rafik Guefaifia Nadia Mezouar Ahmad Mohammed Alghamdi Global Existence and Decay for a System of Two Singular Nonlinear Viscoelastic Equations with General Source and Localized Frictional Damping Terms Journal of Function Spaces |
| title | Global Existence and Decay for a System of Two Singular Nonlinear Viscoelastic Equations with General Source and Localized Frictional Damping Terms |
| title_full | Global Existence and Decay for a System of Two Singular Nonlinear Viscoelastic Equations with General Source and Localized Frictional Damping Terms |
| title_fullStr | Global Existence and Decay for a System of Two Singular Nonlinear Viscoelastic Equations with General Source and Localized Frictional Damping Terms |
| title_full_unstemmed | Global Existence and Decay for a System of Two Singular Nonlinear Viscoelastic Equations with General Source and Localized Frictional Damping Terms |
| title_short | Global Existence and Decay for a System of Two Singular Nonlinear Viscoelastic Equations with General Source and Localized Frictional Damping Terms |
| title_sort | global existence and decay for a system of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms |
| url | http://dx.doi.org/10.1155/2020/5085101 |
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