| 具有年龄结构的种群线性动力系统的最优收获控制问题 |
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| 引用本文： | 雒志学,王绵森.具有年龄结构的种群线性动力系统的最优收获控制问题[J].高校应用数学学报(英文版),2003,18(4):412-420. |
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| 作者姓名： | 雒志学 王绵森 |
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| 作者单位： | Luo Zhixue Wang MiansenDept. of Math.，Xi'an Jiaotong Univ.，Xi'an 710049，China. |
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| 基金项目： | Supported by the National Natural Science Foundation of China( 1 9971 0 66) |
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| 摘 要： | § 1 Introduction and setting of the problemThe optimal control of age-dependent population dynamics has been intensivelystudied in the last two decades and there is now a vast stock of literature on the topic ofoptimal control problems ofage-structured population dynamics.(see 1 -9] ) .To the bestof our knowledge,the works of Brokate3,4] are the firstto deal with this topic.Since then,many authors devote to the optimal harvesting problem.In this aspect,we refere to thefundamental papers o…
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| 收稿时间： | 9 December 2002 |
Optimal harvesting control problem for linear age-dependent population dynamics |
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| Luo?Zhixue,Wang?Miansen.Optimal harvesting control problem for linear age-dependent population dynamics[J].Applied Mathematics A Journal of Chinese Universities,2003,18(4):412-420. |
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| Authors: | Luo Zhixue Wang Miansen |
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| Institution: | (1) Dept. of Math., Xi’an Jiaotong Univ., 710049 Xi’an, China |
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| Abstract: | An optimal harvesting problem for linear age-dependent population dynamics is investigated.By Mazur's Theorem,the existence of solutions of the optimal control problem (OH) is demonstrated.The first order necessary conditions of optimality for problem (OH) is obtained by the conception of normal cone. Finally,under suitable assumptions,the uniqueness of solutions of the optimal control problem (OH) is given.The results extend some known criteria. |
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| Keywords: | optimal harvesting optimal control population dynamics the maximum principle |
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