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An Optimal Control Problem of a Coupled Nonlinear Parabolic Population System

An Optimal Control Problem of a Coupled Nonlinear Parabolic Population System
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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. 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.
作者 Chao-hua Jia De-xing Feng
机构地区 Department of Applied Mathematics Academy of Mathematics and Systems Science
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2007年第3期377-388,共12页 应用数学学报（英文版）
基金 the National Natural Science Foundation of China(No.10626002,No.60334040)
关键词 Nonlinear parabolic systems optimal control upper and lower solutions Nonlinear parabolic systems, optimal control, upper and lower solutions
分类号 O17 [理学—基础数学]
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Acta Mathematicae Applicatae Sinica
2007年 第3期

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