Growth of solutions for a coupled nonlinear Klein–Gordon system with strong damping, source, and distributed delay terms

Abstract In this work, the exponential growth of solutions for a coupled nonlinear Klein–Gordon system with distributed delay, strong damping, and source terms is proved. Take into consideration some suitable assumptions.

Bibliographic Details
Main Authors:	Abdelaziz Rahmoune, Djamel Ouchenane, Salah Boulaaras, Praveen Agarwal
Format:	Article
Language:	English
Published:	SpringerOpen 2020-07-01
Series:	Advances in Difference Equations
Subjects:	Viscoelastic equation Exponential growth Strong damping Nonlinear source Distributed delay
Online Access:	http://link.springer.com/article/10.1186/s13662-020-02801-y

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spelling	doaj-bfb983daded64a42ad183e508730b0682020-11-25T03:44:27ZengSpringerOpenAdvances in Difference Equations1687-18472020-07-012020111510.1186/s13662-020-02801-yGrowth of solutions for a coupled nonlinear Klein–Gordon system with strong damping, source, and distributed delay termsAbdelaziz Rahmoune0Djamel Ouchenane1Salah Boulaaras2Praveen Agarwal3Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat UniversityLaboratory of Pure and Applied Mathematics, Amar Teledji Laghouat UniversityDepartment of Mathematics, College of Sciences and Arts, Al-Ras, Qassim UniversityDepartment of Mathematics, Anand International College of EngineeringAbstract In this work, the exponential growth of solutions for a coupled nonlinear Klein–Gordon system with distributed delay, strong damping, and source terms is proved. Take into consideration some suitable assumptions.http://link.springer.com/article/10.1186/s13662-020-02801-yViscoelastic equationExponential growthStrong dampingNonlinear sourceDistributed delay
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Abdelaziz Rahmoune Djamel Ouchenane Salah Boulaaras Praveen Agarwal
spellingShingle	Abdelaziz Rahmoune Djamel Ouchenane Salah Boulaaras Praveen Agarwal Growth of solutions for a coupled nonlinear Klein–Gordon system with strong damping, source, and distributed delay terms Advances in Difference Equations Viscoelastic equation Exponential growth Strong damping Nonlinear source Distributed delay
author_facet	Abdelaziz Rahmoune Djamel Ouchenane Salah Boulaaras Praveen Agarwal
author_sort	Abdelaziz Rahmoune
title	Growth of solutions for a coupled nonlinear Klein–Gordon system with strong damping, source, and distributed delay terms
title_short	Growth of solutions for a coupled nonlinear Klein–Gordon system with strong damping, source, and distributed delay terms
title_full	Growth of solutions for a coupled nonlinear Klein–Gordon system with strong damping, source, and distributed delay terms
title_fullStr	Growth of solutions for a coupled nonlinear Klein–Gordon system with strong damping, source, and distributed delay terms
title_full_unstemmed	Growth of solutions for a coupled nonlinear Klein–Gordon system with strong damping, source, and distributed delay terms
title_sort	growth of solutions for a coupled nonlinear klein–gordon system with strong damping, source, and distributed delay terms
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2020-07-01
description	Abstract In this work, the exponential growth of solutions for a coupled nonlinear Klein–Gordon system with distributed delay, strong damping, and source terms is proved. Take into consideration some suitable assumptions.
topic	Viscoelastic equation Exponential growth Strong damping Nonlinear source Distributed delay
url	http://link.springer.com/article/10.1186/s13662-020-02801-y
work_keys_str_mv	AT abdelazizrahmoune growthofsolutionsforacouplednonlinearkleingordonsystemwithstrongdampingsourceanddistributeddelayterms AT djamelouchenane growthofsolutionsforacouplednonlinearkleingordonsystemwithstrongdampingsourceanddistributeddelayterms AT salahboulaaras growthofsolutionsforacouplednonlinearkleingordonsystemwithstrongdampingsourceanddistributeddelayterms AT praveenagarwal growthofsolutionsforacouplednonlinearkleingordonsystemwithstrongdampingsourceanddistributeddelayterms
_version_	1724514868652933120

Growth of solutions for a coupled nonlinear Klein–Gordon system with strong damping, source, and distributed delay terms

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