Global existence combined with general decay of solutions for coupled Kirchhoff system with a distributed delay term

被引：19

作者：

Doudi, Nadjat ^{[1
]}

Boulaaras, Salah ^{[2
,3
]}

机构：

[1] LMA Mohamed Khider Univ, Lab Appl Math, Box 145 Rp, Biskra 07000, Algeria

[2] Qassim Univ, Coll Arts & Sci, Dept Math, Buraydah, Saudi Arabia

[3] Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Ahmed Benbella, Oran, Algeria

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 114卷 / 04期

关键词：

Global existence; Lyapunov functional; Faedo-Galerkin method; General Decay; Kirchhoff system; Distributed delay term; Viscoelastic term; NONLINEAR-WAVE EQUATIONS; REGULARITY CRITERION; SPACES;

D O I：

10.1007/s13398-020-00938-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with the proof of the global existence of solutions for system of nonlinear viscoelastic Kirchhoff system with a distributed delay and general coupling terms in a bounded domain. The current study was performed by using the energy method along with Faedo-Galerkin method and under some suitable conditions in coupling terms parameters. In addition, we prove the stability result by using the multiplier method.

引用

页数：31

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