| 时变种群系统最优生育率控制的非线性问题 |
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| 引用本文： | 姚秀玲,陈任昭.时变种群系统最优生育率控制的非线性问题[J].东北师大学报(自然科学版),2005,37(4):1-6. |
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| 作者姓名： | 姚秀玲 陈任昭 |
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| 作者单位： | 1. 东北师范大学数学与统计学院,吉林,长春,130024;吉林大学数学学院,吉林,长春,130021
2. 东北师范大学数学与统计学院,吉林,长春,130024 |
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| 摘 要： | 讨论了时变种群系统最优生育率控制的非线性问题,证明了最优控制的存在性,得到了控制为最优的一阶必要条件.这些结果可为种群控制问题的实际研究提供数学理论基础.
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| 关 键 词： | 时变种群系统 最优生育率控制 积分-偏微分方程 一阶必要条件 |
| 文章编号： | 1000-1832（2005）04-0001-06 |
| 收稿时间： | 2005-01-26 |
| 修稿时间： | 2005年1月26日 |
Nonlinear problem for optimal birth control of time-verying population system |
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| YIAO Xiu-ling,CHEN Ren-zhao.Nonlinear problem for optimal birth control of time-verying population system[J].Journal of Northeast Normal University (Natural Science Edition),2005,37(4):1-6. |
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| Authors: | YIAO Xiu-ling CHEN Ren-zhao |
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| Institution: | 1. College of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China; 2. College of Mathematics,Jilin University, Changchun 130021, China |
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| Abstract: | The nonlinear problem for the ptimal birth control of the time - verying population system is discussed, the existence of the optimal control is proved. The first order necessary condition for a control to be optimal is obtained. These results may provide a mathemtical theoretical basis for the practical research of the control problem in populations. |
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| Keywords: | time- varying population system optimal birth control integro- partial differential equation first order necessary condition |
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