Exponential stability of Timoshenko system in thermoelasticity of second sound with a memory and distributed delay term

被引：5

作者：

Moumen, Abdelkader ^{[1
]}

Ouchenane, Djamel ^{[2
]}

Choucha, Abdelbaki ^{[3
]}

Zennir, Khaled ^{[4
,5
]}

Zubair, Sulima A. ^{[4
,6
]}

机构：

[1] Univ Hail, Fac Sci, Dept Math, Hail 55425, Saudi Arabia

[2] Amar Teledji Laghouat Univ, Lab Pure & Appl Math, Laghouat, Algeria

[3] Univ El Oued, Fac Exact Sci, Dept Math, BP 789, El Oued 39000, Algeria

[4] Qassim Univ, Coll Sci & Arts, Dept Math, Ar Rass, Saudi Arabia

[5] Univ 8 Mai 1945 Guelma, Lab Math Appl & Modelisat, BP 401, Guelma 24000, Algeria

[6] Bahry Univ, Coll Educ, Dept Math, Khartoum, Sudan

来源：

OPEN MATHEMATICS | 2021年 / 19卷 / 01期

关键词：

Timoshenko system; general decay; exponential decay; distributed delay term; STABILIZATION; EQUATION;

D O I：

10.1515/math-2021-0117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article concerns linear one-dimensional thermoelastic Timoshenko system with memory and distributed delay terms where the Cattaneo law governs the heat flux q(x, t). We proved an exponential stability result by using the energy method combined with Lyapunov functional.

引用

页码：1636 / 1647

页数：12

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