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

^*Corresponding author for this work

School of Mathematical Sciences

CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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.

Original language	English
Pages (from-to)	377-388
Number of pages	12
Journal	Acta Mathematicae Applicatae Sinica
Volume	23
Issue number	3
DOIs	https://doi.org/10.1007/s10255-007-0378-z
State	Published - Jul 2007

Keywords

Nonlinear parabolic systems
Optimal control
Upper and lower solutions

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10.1007/s10255-007-0378-z

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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\}",

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

AU - Jia, Chao Hua

AU - Feng, De Xing

PY - 2007/7

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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

Abstract

Keywords

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