An energy-preserving nonlinear system modeling a string with input and output on the boundary
文献类型：期刊论文
| 作者 | Yao, Peng-Fei
|
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2007-05-15 |
| 卷号 | 66期号:10页码:2128-2139 |
| 关键词 | quasilinear string exponential stabilization boundary input and output |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2006.03.005 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000245706100002 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4793]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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