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| 时变种群系统的最优边界控制 | |
| 引用本文： | 曹春玲,陈任昭. 时变种群系统的最优边界控制[J]. 东北师大学报(自然科学版), 1999, 0(4) |
| 作者姓名： | 曹春玲 陈任昭 |
| 作者单位： | 长春邮电学院基础部!吉林长春，130012，东北师范大学数学系!吉林长春，130024 |
| 基金项目： | 国家自然科学基金!19671015 |
| 摘 要： | 讨论了与年龄相关的时变种群系统的最优边界控制，证明了最优控制的存在唯一性，得到了控制为最优的充分必要条件，给出了由积分一偏微分方程和变分不等式组成的最优性组．这些结果可为种群控制问题的研究提供严格的理论基础． |
| 关 键 词： | 种群系统 积分-微分方程 最优边界控制 最优性组 变分不等式 |
Optimal boundary control for time-varying population systems |
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| CAO Chun-ling, CHEN Ren-zhao. Optimal boundary control for time-varying population systems[J]. Journal of Northeast Normal University (Natural Science Edition), 1999, 0(4) | |
| Authors: | CAO Chun-ling CHEN Ren-zhao |
| Abstract: | This paper discusses the optimal boundary control for time-verying population systems with age-dependence, proves the existence and uniqueness of the optimal control, obtains the necessary and sufficient conditions for a control to be optimal and gives the optimality system consisting of integro-differential equations and variational inequalities. These results may provide a strict theoretica bsais for the research of the population control problem. |
| Keywords: | population system integro-differential equation optimal boundary control optimality system variational inequalities |
| 本文献已被 CNKI 等数据库收录！ | |