Global Existence and Decay of Solutions for Coupled Nondegenerate Kirchhoff System with a Time Varying Delay Term

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: Nadia Mezouar, Salah Mahmoud Boulaaras, Sultan Alodhaibi, Salem Alkhalaf
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/6324971
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spelling doaj-4d00aad7f95445449d4b7e84e2de15ff2020-11-25T03:02:04ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/63249716324971Global 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
collection DOAJ
language English
format Article
sources DOAJ
author Nadia Mezouar
Salah Mahmoud Boulaaras
Sultan Alodhaibi
Salem Alkhalaf
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
author_facet Nadia Mezouar
Salah Mahmoud Boulaaras
Sultan Alodhaibi
Salem Alkhalaf
author_sort Nadia Mezouar
title 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_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_sort global existence and decay of solutions for coupled nondegenerate kirchhoff system with a time varying delay term
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
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.
url http://dx.doi.org/10.1155/2020/6324971
work_keys_str_mv AT nadiamezouar globalexistenceanddecayofsolutionsforcouplednondegeneratekirchhoffsystemwithatimevaryingdelayterm
AT salahmahmoudboulaaras globalexistenceanddecayofsolutionsforcouplednondegeneratekirchhoffsystemwithatimevaryingdelayterm
AT sultanalodhaibi globalexistenceanddecayofsolutionsforcouplednondegeneratekirchhoffsystemwithatimevaryingdelayterm
AT salemalkhalaf globalexistenceanddecayofsolutionsforcouplednondegeneratekirchhoffsystemwithatimevaryingdelayterm
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