Title
Nonlinear boundary stabilization of the wave equations with variable coefficients and time dependent delay.
Abstract
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.
Year
DOI
Venue
2014
10.1016/j.amc.2014.01.141
Applied Mathematics and Computation
Keywords
Field
DocType
Wave equations,Time dependent delay,Nonlinear boundary feedback,Riemannian geometry methods
Mathematical optimization,Nonlinear system,Mathematical analysis,Exponential decay,Wave equation,Riemannian geometry,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
232
null
0096-3003
Citations 
PageRank 
References 
0
0.34
3
Authors
6
Name
Order
Citations
PageRank
Zhen-Hu Ning175.51
Changxiang Shen212714.57
Xiao-peng Zhao37412.48
Hao Li400.34
Changsong Lin521.10
Yanmei Zhang600.34