Global existence and exponential stability of coupled Lame system with distributed delay and source term without memory term

被引：10

作者：

Boulaaras, Salah ^{[1
,2
]}

Doudi, Nadjat ^{[3
]}

机构：

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

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

[3] Univ El Oued, Fac Exact Sci, Lab Operator Theory & PDEs Fdn & Applicat, Dept Math, Box 789, El Oued 39000, Algeria

来源：

BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期

关键词：

Viscoelastic term; Delay function; Lyapunov functional; Distributed delay; Exponential decay;

D O I：

10.1186/s13661-020-01471-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the global existence and exponential energy decay results of a coupled Lame system with distributed time delay, nonlinear source term, and without memory term by using the Faedo-Galerkin method. In addition, an appropriate Lyapunov functional, more general relaxation functions, and some properties of convex functions are considered.

引用

页数：21

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