An energy-preserving nonlinear system modeling a string with input and output on the boundary

doi:10.1016/j.na.2006.03.005

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	An energy-preserving nonlinear system modeling a string with input and output on the boundary
	Yao, Peng-Fei
	2007-05-15
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	66 期号:10 页码:2128-2139
摘要	We study an energy conserving distributed parameter system described by a nonlinear string equation with the input and output at the boundary. We prove the existence of global smooth solutions to this quasilinear hyperbolic system if the initial data and the boundary input are small. If, moreover, the input function becomes zero after some finite time, then the state trajectories decay exponentially. (c) 2006 Elsevier Ltd. All rights reserved.
关键词	quasilinear string exponential stabilization boundary input and output
DOI	10.1016/j.na.2006.03.005
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000245706100002
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4794
专题	系统科学研究所
通讯作者	Yao, Peng-Fei
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yao, Peng-Fei. An energy-preserving nonlinear system modeling a string with input and output on the boundary[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2007,66(10):2128-2139.
APA	Yao, Peng-Fei.(2007).An energy-preserving nonlinear system modeling a string with input and output on the boundary.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,66(10),2128-2139.
MLA	Yao, Peng-Fei."An energy-preserving nonlinear system modeling a string with input and output on the boundary".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 66.10(2007):2128-2139.