A GENERAL STABILITY RESULT IN A MEMORY-TYPE TIMOSHENKO SYSTEM

被引：15
|
作者：
Messaoudi, Salim A. [1 ]
Mustafa, Muhammad I. [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2013年 / 12卷 / 02期
关键词：
Stability; general decay; relaxation function; Timoshenko system; viscoelasticity; ENERGY DECAY-RATES; EXPONENTIAL STABILITY; GLOBAL EXISTENCE; THERMOELASTICITY; STABILIZATION; HISTORY; BEAMS;
D O I：
10.3934/cpaa.2013.12.957
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 R+ psi(tt) - psi(xx) vertical bar phi(x) vertical bar psi vertical bar integral(t)(0) g(t - tau)psi(xx)(tau)d tau = 0, (0, 1) x R+ with Dirichlet boundary conditions where g is a positive nonincreasing function satisfying g' (t) <= - H(g(t)) and H is a function satisfying some regularity and convexity conditions. We establish a general stability result for this system.
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页码：957 / 972
页数：16
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