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

页码：299 / 312

页数：14

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