Exponential stability for a Timoshenko-type system with history

被引：18
|
作者：
Ma, Zhiyong [1 ]
Zhang, Lingrui [2 ]
Yang, Xinguang [3 ]
机构：
[1] Shanghai Second Polytech Univ, Coll Sci, Shanghai 201209, Peoples R China
[2] Luoyang Normal Univ, Coll Math, Luoyang 471022, Peoples R China
[3] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 380卷 / 01期
关键词：
Exponential decay; Timoshenko; Semigroup; Past history; ENERGY DECAY; GLOBAL EXISTENCE;
D O I：
10.1016/j.jmaa.2011.02.078
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider hyperbolic Timoshenko-type vibrating systems that are coupled to a heat equation modeling an expectedly dissipative effect through heat conduction. We use the semigroup method to prove the exponential stability result with assumptions on past history relaxation function g exponentially decaying for the equal wave-speed case. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：299 / 312
页数：14
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