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BLOW-UP SOLUTION OF NONLINEAR REACTION-DIFFUSION EQUATIONS UNDER BOUNDARY FEEDBACK

文献类型：期刊论文

作者Ding, J.1,2; Guo, B. -Z.1,2,3
刊名JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
出版日期2011-04-01
卷号17期号:2页码:273-290
关键词Reaction-diffusion equation boundary control global solution blow-up solution
ISSN号1079-2724
DOI10.1007/s10883-011-9119-y
英文摘要In this paper, we study a class of nonlinear reaction-diffusion equations with Neumann boundary control. Some sufficient conditions under which the system admits a unique global solution are given. A time-dependent gain nonlinear proportional boundary feedback control is designed to make the closed-loop system blow-up in a finite time. Finally, some concrete examples are presented to illustrate the applications.
资助项目National Natural Science Foundation of China[61074048] ; National Natural Science Foundation of China[60974032] ; Natural Science Foundation of Shanxi Province[2006011001] ; Foundation of Shanxi Province for Overseas Returned Scholars ; National Basic Research Program of China[2011CB808002] ; National Research Foundation of South Africa
WOS研究方向Automation & Control Systems ; Mathematics
语种英语
WOS记录号WOS:000292916100006
出版者SPRINGER/PLENUM PUBLISHERS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12993]  
专题系统科学研究所
通讯作者Ding, J.
作者单位1.Shanxi Univ, Sch Math Sci, Taiyuan, Peoples R China
2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa
3.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Ding, J.,Guo, B. -Z.. BLOW-UP SOLUTION OF NONLINEAR REACTION-DIFFUSION EQUATIONS UNDER BOUNDARY FEEDBACK[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,2011,17(2):273-290.
APA Ding, J.,&Guo, B. -Z..(2011).BLOW-UP SOLUTION OF NONLINEAR REACTION-DIFFUSION EQUATIONS UNDER BOUNDARY FEEDBACK.JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,17(2),273-290.
MLA Ding, J.,et al."BLOW-UP SOLUTION OF NONLINEAR REACTION-DIFFUSION EQUATIONS UNDER BOUNDARY FEEDBACK".JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 17.2(2011):273-290.

入库方式： OAI收割

来源：数学与系统科学研究院

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