An optimal control problem of a coupled nonlinear parabolic population system | |
Jia, Chao-hua1; Feng, De-xing2 | |
刊名 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES |
2007 | |
卷号 | 23期号:3页码:377-388 |
关键词 | nonlinear parabolic systems optimal control upper and lower solutions |
ISSN号 | 0168-9673 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | SPRINGER HEIDELBERG |
WOS记录号 | WOS:000255158700002 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4432] |
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. |
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