An optimal control problem of a coupled nonlinear parabolic population system

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	An optimal control problem of a coupled nonlinear parabolic population system
	Jia, Chao-hua 1; Feng, De-xing 2
	2007
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	23 期号:3 页码:377-388
摘要	An optimal control problem for a coupled nonlinear parabolic population system is considered. The existence and uniqueness of the positive solution for the system is shown by the method of upper and lower solutions. An explicit prior bound of solutions to the system is given by considering an auxiliary coupled linear system. The existence of the optimal control is proved and the characterization of the optimal control is established.
关键词	nonlinear parabolic systems optimal control upper and lower solutions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000255158700002
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4433
专题	中国科学院数学与系统科学研究院
通讯作者	Jia, Chao-hua
作者单位	1.Beijing Univ Aeronaut & Astronaut, Minist Educ, LMIB, Dept Appl Math, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Jia, Chao-hua,Feng, De-xing. An optimal control problem of a coupled nonlinear parabolic population system[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2007,23(3):377-388.
APA	Jia, Chao-hua,&Feng, De-xing.(2007).An optimal control problem of a coupled nonlinear parabolic population system.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,23(3),377-388.
MLA	Jia, Chao-hua,et al."An optimal control problem of a coupled nonlinear parabolic population system".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 23.3(2007):377-388.