On the control of a viscoelastic damped Timoshenko-type system

被引：66
|
作者：
Guesmia, Aissa [1 ]
Messaoudi, Salim A. [2 ]
机构：
[1] Univ Paul Verlaine Metz, ISGMP, LMAM, F-57045 Metz 01, France
[2] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 206卷 / 02期
关键词：
Exponential decay; Polynomial decay; Relaxation function; Timoshinko; Viscoelastic;
D O I：
10.1016/j.amc.2008.05.122
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the following Timoshenko system phi(tt) - (phi(x) + psi)(x) = 0, (0, 1) x (0, +infinity) psi(tt) - psi(xx) + integral(t)(0) g(t - tau)psi(xx)(tau)d tau + phi(x) + psi = 0, (0, 1) x (0, +infinity) with Dirichlet boundary conditions where g is a positive nonincreasing function. We establish an exponential and polynomial decay results with weaker conditions on g than those required in [F. Ammar-Khodja, A. Benabdallah, J. E. Munoz Rivera, R. Racke, Energy decay for Timoshenko systems of memory type, J. Differ. Equations, 194 ( 2003) 82-115]. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：589 / 597
页数：9
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