| 时变种群扩散系统最优生育率控制的非线性问题 |
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| 引用本文： | 李健全,陈任昭.时变种群扩散系统最优生育率控制的非线性问题[J].应用数学学报,2002,25(4):626-641. |
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| 作者姓名： | 李健全 陈任昭 |
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| 作者单位： | 1. 北京信息控制研究所,北京,100037;华南师范大学数学系,广州,510631
2. 东北师范大学数学系,长春,130024 |
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| 基金项目： | 国家自然科学基金(10071012号)资助项目 |
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| 摘 要： | 本文讨论了一类时变种群扩散系统最优生育率控制的非线性问题，证明了最优生育率控制的存在性，给出了控制为最优的必要条件及其最优性组，本结果可为种群扩散系统最优控制问题的实际研究提供物理理论基础。
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| 关 键 词： | 时变种群扩散系统 积分－偏微分方程 最优生育率控制 非线性问题 必要条件 最优性组 |
A NONLINEAR PROBLEM OF THE OPTIMAL FERTILITY RATE CONTROL IN TIME-VARYING POPULATION SYSTEM WITH DIFFUSION |
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| LI JIANQUAN.A NONLINEAR PROBLEM OF THE OPTIMAL FERTILITY RATE CONTROL IN TIME-VARYING POPULATION SYSTEM WITH DIFFUSION[J].Acta Mathematicae Applicatae Sinica,2002,25(4):626-641. |
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| Authors: | LI JIANQUAN |
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| Abstract: | This paper discusses a non-linear problem of the fertility rate control for a class of time-varying population system with diffusion, proves the existence of the optimal fertility rate control, gives the necessary condition for a control to be optimal and its optimality system. These results provide a theretical basis for the pratical study of the optimal control problem in time-varying population system with diffusion. |
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| Keywords: | Time-varying population system with diffusion integro-parital diferential equation nonlinear problem optimal fertility rate control necessary condition optimality system |
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