| An Optimal Control Problem of a Coupled Nonlinear Parabolic Population System |
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| 作者姓名： | Chao-hua Jia De-xing Feng |
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| 作者单位： | [1]Department of Applied Mathematics, LMIB of the Ministry of Education, Beijing University of Aeronauticsand Astronautics, Beijing 100083, China [2]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
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| 基金项目： | Su-pported by the National Natural Science Foundation of China （No.10626002, No.60334040）. |
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| 摘 要： |
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| 关 键 词： | 最佳控制理论 非线性参数 抛物线 数学 |
| 收稿时间： | 11 November 2004 |
| 修稿时间： | 2004-11-11 |
s10255-007-0378-z |
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| Chao-hua Jia De-xing Feng.An Optimal Control Problem of a Coupled Nonlinear Parabolic Population System[J].Acta Mathematicae Applicatae Sinica,2007,23(3):377-388. |
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| Authors: | Chao-hua Jia De-xing Feng |
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| Institution: | (1) Department of Applied Mathematics, LMIB of the Ministry of Education, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China;(2) Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China |
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| 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. |
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| Keywords: | Nonlinear parabolic systems optimal control upper and lower solutions |
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