A stability result of a Timoshenko system with a delay term in the internal feedback

被引：82

作者：

Said-Houari, Belkacem ^{[1
]}

Laskri, Yamina ^{[2
]}

机构：

[1] Univ Savoie, Math Lab, F-73376 Le Bourget Du Lac, France

[2] Univ Badji Mokhtar, Lab Math Appl, Annaba 23000, Algeria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 06期

关键词：

Timoshenko; Delay; Global solutions; Stability; Damping; Exponential decay; EXPONENTIAL STABILITY; NONLINEAR THERMOELASTICITY; GLOBAL EXISTENCE; WAVE-EQUATION; 2ND SOUND; STABILIZATION; BOUNDARY; HEAT;

D O I：

10.1016/j.amc.2010.08.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a Timoshenko system with a delay term in the feedback and prove a stability result. The beam is clamped at the endpoints and has, in addition to an internal damping, a feedback with a delay. Under an appropriate assumption on the weights of the two feedbacks, we prove the well-posedness of the system and establish an exponential decay result for the case of equal-speed wave propagation. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2857 / 2869

页数：13

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