Nonlinear boundary stabilization of the wave equations with variable coefficients and time dependent delay

被引：14

作者：

Ning, Zhen-Hu ^{[1
]}

Shen, Chang-Xiang ^{[1
]}

Zhao, Xiaopeng ^{[2
]}

Li, Hao ^{[3
]}

Lin, Changsong ^{[3
]}

Zhang, Yanmei ^{[4
]}

机构：

[1] Beijing Univ Technol, Coll Comp Sci, Beijing 100124, Peoples R China

[2] Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China

[3] China Univ Geosci, Sch Ocean Sci, Beijing 100083, Peoples R China

[4] China Univ Geosci, Sch Informat Engn, Beijing 100083, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 232卷

基金：

美国国家科学基金会;

关键词：

Wave equations; Time dependent delay; Nonlinear boundary feedback; Riemannian geometry methods; FEEDBACK;

D O I：

10.1016/j.amc.2014.01.141

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the stabilization the wave equations with variable coefficients in a bounded domain and nonlinear boundary feedback with time dependent delay. By the Riemannian geometry methods and a suitable assumption of delay, we obtain the exponential decay when the nonlinear terms are linearly bounded and a general decay when the nonlinear terms have no upper growth bound. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：511 / 520

页数：10

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