| 一类人口发展系统生育率的双控制问题 |
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| 引用本文： | 蔡吉花,丛凌博.一类人口发展系统生育率的双控制问题[J].黑龙江科技学院学报,2012(1):89-92. |
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| 作者姓名： | 蔡吉花 丛凌博 |
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| 作者单位： | 黑龙江科技学院理学院 |
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| 基金项目： | 黑龙江省自然科学基金项目(A200915);黑龙江省教育厅科学技术研究项目(10551285) |
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| 摘 要： | 研究了一类时变人口发展系统,把非竞争生育率和竞争生育率作为双控制元讨论了一类时变人口发展系统最优控制问题。利用泛函分析方法,证明了时变人口发展系统优化控制元的存在性和唯一性。
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| 关 键 词： | 人口发展系统 生育率 闭凸集 双控制元 |
Two control elements problem of fertility rate for population developing system |
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| CAI Jihua,CONG Lingbo.Two control elements problem of fertility rate for population developing system[J].Journal of Heilongjiang Institute of Science and Technology,2012(1):89-92. |
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| Authors: | CAI Jihua CONG Lingbo |
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| Institution: | (College of Sciences,Heilongjiang Institute of Science & Technology,Harbin 150027,China) |
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| Abstract: | This paper presents a study on the time-dependent population developing system and discusses the optimal control problem of the time-dependent population developing system by regarding the noncompetitive fertility rate and the competitive fertility rate as two control elements.The existence and uniqueness of the optimal control for the time-dependent population developing system are proved by the functional analysis methods. |
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| Keywords: | population developing system fertility rate closed convex set two control elements |
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