Stabilization of a type III thermoelastic Timoshenko system in the presence of a time-distributed delay

被引：17

作者：

Fareh, Abdelfeteh ^{[1
]}

Messaoudi, Salim A. ^{[2
]}

机构：

[1] Univ Echahid Hamma Lakhdar, Fac Sci Exactes, Lab Theorie Operateurs & EDP Fondaments & Applica, BP 789, El Oued 39000, Algeria

[2] KFUPM, Dept Math & Stat, Dhahrane 31261, Saudi Arabia

来源：

MATHEMATISCHE NACHRICHTEN | 2017年 / 290卷 / 07期

关键词：

Timoshenko system; thermoelasticity type III; distributed delay; exponential decay; ENERGY DECAY; EXPONENTIAL STABILITY; WAVE-EQUATION; 2ND SOUND; BOUNDARY; INSTABILITY; FEEDBACKS; TERM;

D O I：

10.1002/mana.201500203

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate a Timoshenko-type system of thermoelasticity of type III in the presence of a distributed delay. We prove the well-posedness and two exponential stability results in the presence as well as in the absence of an extra frictional damping. In case of absence of the frictional damping, our stability result is obtained under the equal-speed of propagation and a smallness condition on the weight of delay. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1017 / 1032

页数：16

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