An optimal control problem of a coupled nonlinear parabolic population system

Chao Hua Jia; De Xing Feng

doi:10.1007/s10255-007-0378-z

An optimal control problem of a coupled nonlinear parabolic population system

Chao Hua Jia^*
, De Xing Feng

^*此作品的通讯作者

数学科学学院

CAS - Academy of Mathematics and System Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

14 引用（Scopus）

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.

源语言	英语
页（从-至）	377-388
页数	12
期刊	Acta Mathematicae Applicatae Sinica
卷	23
期	3
DOI	https://doi.org/10.1007/s10255-007-0378-z
出版状态	已出版 - 7月 2007

访问文件

10.1007/s10255-007-0378-z

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{93503fba99904f538cacbb9dbf354199,

title = "An optimal control problem of a coupled nonlinear parabolic population system",

abstract = "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.",

keywords = "Nonlinear parabolic systems, Optimal control, Upper and lower solutions",

author = "Jia, \{Chao Hua\} and Feng, \{De Xing\}",

year = "2007",

month = jul,

doi = "10.1007/s10255-007-0378-z",

language = "英语",

volume = "23",

pages = "377--388",

journal = "Acta Mathematicae Applicatae Sinica",

issn = "0168-9673",

publisher = "Springer Verlag",

number = "3",

}

TY - JOUR

T1 - An optimal control problem of a coupled nonlinear parabolic population system

AU - Jia, Chao Hua

AU - Feng, De Xing

PY - 2007/7

Y1 - 2007/7

N2 - 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.

AB - 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.

KW - Nonlinear parabolic systems

KW - Optimal control

KW - Upper and lower solutions

UR - https://www.scopus.com/pages/publications/34347236880

U2 - 10.1007/s10255-007-0378-z

DO - 10.1007/s10255-007-0378-z

M3 - 文章

AN - SCOPUS:34347236880

SN - 0168-9673

VL - 23

SP - 377

EP - 388

JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

IS - 3

ER -

An optimal control problem of a coupled nonlinear parabolic population system

摘要

访问文件

其它文件与链接

学术指纹

引用此