On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay

On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay

This paper studies the system of coupled nondegenerate viscoelastic Kirchhoff equations with a distributed delay. By using the energy method and Faedo-Galerkin method, we prove the global existence of solutions. Furthermore, we prove the exponential stability result.

Bibliographic Details
Main Authors: Abdelbaki Choucha, Salah Mahmoud Boulaaras, Djamel Ouchenane, Salem Alkhalaf, Ibrahim Mekawy, Mohamed Abdalla
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5577277
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spelling doaj-e2a8063376e040e39d9712b19559cd392021-03-15T00:00:12ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/5577277On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential DecayAbdelbaki Choucha0Salah Mahmoud Boulaaras1Djamel Ouchenane2Salem Alkhalaf3Ibrahim Mekawy4Mohamed Abdalla5Laboratory of Operator Theory and PDEs: Foundations and ApplicationsDepartment of MathematicsLaboratory of Pure and Applied MathematicsDepartment of Computer SciencesDepartment of MathematicsMathematics DepartmentThis paper studies the system of coupled nondegenerate viscoelastic Kirchhoff equations with a distributed delay. By using the energy method and Faedo-Galerkin method, we prove the global existence of solutions. Furthermore, we prove the exponential stability result.http://dx.doi.org/10.1155/2021/5577277
collection DOAJ
language English
format Article
sources DOAJ
author Abdelbaki Choucha
Salah Mahmoud Boulaaras
Djamel Ouchenane
Salem Alkhalaf
Ibrahim Mekawy
Mohamed Abdalla
spellingShingle Abdelbaki Choucha
Salah Mahmoud Boulaaras
Djamel Ouchenane
Salem Alkhalaf
Ibrahim Mekawy
Mohamed Abdalla
On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay
Journal of Function Spaces
author_facet Abdelbaki Choucha
Salah Mahmoud Boulaaras
Djamel Ouchenane
Salem Alkhalaf
Ibrahim Mekawy
Mohamed Abdalla
author_sort Abdelbaki Choucha
title On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay
title_short On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay
title_full On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay
title_fullStr On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay
title_full_unstemmed On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay
title_sort on the system of coupled nondegenerate kirchhoff equations with distributed delay: global existence and exponential decay
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description This paper studies the system of coupled nondegenerate viscoelastic Kirchhoff equations with a distributed delay. By using the energy method and Faedo-Galerkin method, we prove the global existence of solutions. Furthermore, we prove the exponential stability result.
url http://dx.doi.org/10.1155/2021/5577277
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AT salahmahmoudboulaaras onthesystemofcouplednondegeneratekirchhoffequationswithdistributeddelayglobalexistenceandexponentialdecay
AT djamelouchenane onthesystemofcouplednondegeneratekirchhoffequationswithdistributeddelayglobalexistenceandexponentialdecay
AT salemalkhalaf onthesystemofcouplednondegeneratekirchhoffequationswithdistributeddelayglobalexistenceandexponentialdecay
AT ibrahimmekawy onthesystemofcouplednondegeneratekirchhoffequationswithdistributeddelayglobalexistenceandexponentialdecay
AT mohamedabdalla onthesystemofcouplednondegeneratekirchhoffequationswithdistributeddelayglobalexistenceandexponentialdecay
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