Global Existence and Decay of Solutions for Coupled Nondegenerate Kirchhoff System with a Time Varying Delay Term
This paper deals with the global existence of solutions in a bounded domain for nonlinear viscoelastic Kirchhoff system with a time varying delay by using the energy and Faedo–Galerkin method with respect to the delay term weight condition in the feedback and the delay speed. Furthermore, by using s...
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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: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/6324971 |
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| _version_ | 1849412917219295232 |
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| author | Nadia Mezouar Salah Mahmoud Boulaaras Sultan Alodhaibi Salem Alkhalaf |
| author_facet | Nadia Mezouar Salah Mahmoud Boulaaras Sultan Alodhaibi Salem Alkhalaf |
| author_sort | Nadia Mezouar |
| collection | DOAJ |
| description | This paper deals with the global existence of solutions in a bounded domain for nonlinear viscoelastic Kirchhoff system with a time varying delay by using the energy and Faedo–Galerkin method with respect to the delay term weight condition in the feedback and the delay speed. Furthermore, by using some convex functions properties, we prove a uniform stability estimate. |
| format | Article |
| id | doaj-art-4d00aad7f95445449d4b7e84e2de15ff |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-4d00aad7f95445449d4b7e84e2de15ff2025-08-20T03:34:18ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/63249716324971Global Existence and Decay of Solutions for Coupled Nondegenerate Kirchhoff System with a Time Varying Delay TermNadia Mezouar0Salah Mahmoud Boulaaras1Sultan Alodhaibi2Salem Alkhalaf3Department of Commerce, Faculty of Economic, Mascara University, 29000 Mascara, AlgeriaDepartment of Mathematics, College of Sciences and Arts, Qassim University, Al-Rass, Saudi ArabiaDepartment of Mathematics, College of Sciences and Arts, Qassim University, Al-Rass, Saudi ArabiaDepartment of Computer, College of Sciences and Arts, Qassim University, Al-Rass, Saudi ArabiaThis paper deals with the global existence of solutions in a bounded domain for nonlinear viscoelastic Kirchhoff system with a time varying delay by using the energy and Faedo–Galerkin method with respect to the delay term weight condition in the feedback and the delay speed. Furthermore, by using some convex functions properties, we prove a uniform stability estimate.http://dx.doi.org/10.1155/2020/6324971 |
| spellingShingle | Nadia Mezouar Salah Mahmoud Boulaaras Sultan Alodhaibi Salem Alkhalaf Global Existence and Decay of Solutions for Coupled Nondegenerate Kirchhoff System with a Time Varying Delay Term Complexity |
| title | Global Existence and Decay of Solutions for Coupled Nondegenerate Kirchhoff System with a Time Varying Delay Term |
| title_full | Global Existence and Decay of Solutions for Coupled Nondegenerate Kirchhoff System with a Time Varying Delay Term |
| title_fullStr | Global Existence and Decay of Solutions for Coupled Nondegenerate Kirchhoff System with a Time Varying Delay Term |
| title_full_unstemmed | Global Existence and Decay of Solutions for Coupled Nondegenerate Kirchhoff System with a Time Varying Delay Term |
| title_short | Global Existence and Decay of Solutions for Coupled Nondegenerate Kirchhoff System with a Time Varying Delay Term |
| title_sort | global existence and decay of solutions for coupled nondegenerate kirchhoff system with a time varying delay term |
| url | http://dx.doi.org/10.1155/2020/6324971 |
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