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.
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页码：2857 / 2869
页数：13
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