Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term
In this current work, we are interested in a system of two singular one-dimensional nonlinear equations with a viscoelastic, general source and distributed delay terms. The existence of a global solution is established by the theory of potential well, and by using the energy method with the function...
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| Main Authors: | , , , |
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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/10.1155/2021/6683465 |
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| _version_ | 1832563150395801600 |
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| author | Abdelbaki Choucha Salah Mahmoud Boulaaras Djamel Ouchenane Ali Allahem |
| author_facet | Abdelbaki Choucha Salah Mahmoud Boulaaras Djamel Ouchenane Ali Allahem |
| author_sort | Abdelbaki Choucha |
| collection | DOAJ |
| description | In this current work, we are interested in a system of two singular one-dimensional nonlinear equations with a viscoelastic, general source and distributed delay terms. The existence of a global solution is established by the theory of potential well, and by using the energy method with the function of Lyapunov, we prove the general decay result of our system. |
| format | Article |
| id | doaj-art-5fe07fabafc2497fb9e22918d7b3e4c1 |
| 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-5fe07fabafc2497fb9e22918d7b3e4c12025-02-03T01:20:51ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66834656683465Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay TermAbdelbaki Choucha0Salah Mahmoud Boulaaras1Djamel Ouchenane2Ali Allahem3Laboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, El Oued, AlgeriaDepartment of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Saudi ArabiaLaboratory of Pure and Applied Mathematics, Amar Telidji Laghouat University, AlgeriaDepartment of Mathematics, College of Sciences, Qassim University, Saudi ArabiaIn this current work, we are interested in a system of two singular one-dimensional nonlinear equations with a viscoelastic, general source and distributed delay terms. The existence of a global solution is established by the theory of potential well, and by using the energy method with the function of Lyapunov, we prove the general decay result of our system.http://dx.doi.org/10.1155/2021/6683465 |
| spellingShingle | Abdelbaki Choucha Salah Mahmoud Boulaaras Djamel Ouchenane Ali Allahem Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term Journal of Function Spaces |
| title | Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term |
| title_full | Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term |
| title_fullStr | Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term |
| title_full_unstemmed | Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term |
| title_short | Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term |
| title_sort | global existence for two singular one dimensional nonlinear viscoelastic equations with respect to distributed delay term |
| url | http://dx.doi.org/10.1155/2021/6683465 |
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