| 带有环境制约函数的非线性资产发展方程的最优控制问题 |
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| 引用本文： | 刘会茹,张红梅,赵凌华,李伟才.带有环境制约函数的非线性资产发展方程的最优控制问题[J].四川师范大学学报(自然科学版),2012(2):190-193. |
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| 作者姓名： | 刘会茹 张红梅 赵凌华 李伟才 |
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| 作者单位： | 石家庄经济学院职业技术学院;石家庄学院数学与信息科学系 |
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| 基金项目： | 国家自然科学基金(10971049)资助项目;石家庄经济学院科研资助项目(ZR201102) |
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| 摘 要： | 近年来,系统科学理论的发展为研究经济系统提供了新的思路和方法.资产积累率是资产发展系统中的一个重要参数,对带有环境制约函数的非线性资产发展方程中积累率的最优控制问题进行了研究.利用Banach空间理论,对极小化序列中的弱收敛序列,构造一强收敛极小化序列,得到了其最优解的存在性和唯一性,结果推广和改进了最近文献的一些主要结果.
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| 关 键 词： | 资产发展方程 最优控制 极小化序列 |
Optimal Control Problem in a Nonlinear Asset Developmental Equation with Environment-limitted Function |
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| LIU Hui-ru,ZHANG Hong-mei,ZHAO Ling-hua,LI Wei-cai.Optimal Control Problem in a Nonlinear Asset Developmental Equation with Environment-limitted Function[J].Journal of Sichuan Normal University(Natural Science),2012(2):190-193. |
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| Authors: | LIU Hui-ru ZHANG Hong-mei ZHAO Ling-hua LI Wei-cai |
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| Institution: | 1.Vocational and Technical College,Shijiazhuang College of Economics,Shijiazhuang 050073,Hebei; 2.Department of Mathematics and Information Science,Shijiazhuang College,Shijiazhuang 050035,Hebei) |
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| Abstract: | In the recent years,theory of system science provides new ideas and methodology to economic system’s study.Assets accumulation rate is an important parameter in assets developmental system.In this paper,optimal control problem in a nonlinear assets developmental equation with environment-limitted function is discussed.By using the theory of Banach space,the existence and uniqueness of the optimal solution are obtained for the problem.The results presented in this paper improve and extend the corresponding results announced in recent literature. |
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| Keywords: | assets developmental equation optimal control minimizing sequences |
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