| 一类二阶积微分方程的控制问题 |
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| 引用本文： | 周爱仁,彭云飞.一类二阶积微分方程的控制问题[J].贵州师范大学学报(自然科学版),2011,29(2):60-63. |
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| 作者姓名： | 周爱仁 彭云飞 |
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| 作者单位： | 1. 贵州财经学院数学与统计学分院,贵州贵阳,550004
2. 贵州大学理学院数学系,贵州贵阳,550025 |
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| 基金项目： | 国家自然科学基金(10961009); 霍英东教育基金(121104); 贵州省科技厅自然科学基金(20092069) |
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| 摘 要： | 考虑了二阶非线性积微分方程的最优控制问题,其中系统中的主算子没有紧性,通过对控制变量附加条件,最后我们证明了Lagrange问题(P)最优控制的存在性.
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| 关 键 词： | 二阶方程 最优控制 存在性 弱收敛 |
Optimal control problem of systems governed by a class of second order integro-differential equations on Banach spaces |
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| ZHOU Ai-ren,PENG Yun-fei.Optimal control problem of systems governed by a class of second order integro-differential equations on Banach spaces[J].Journal of Guizhou Normal University(Natural Sciences),2011,29(2):60-63. |
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| Authors: | ZHOU Ai-ren PENG Yun-fei |
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| Institution: | ZHOU Ai-ren1,PENG Yun-fei2(1.School of Mathematics and Statistics,Guizhou College of Finace and Economics,Guiyang,Guizhou 550004,China,2.Department of Mathematics,College of Science,Guizhou University,Guizhou 550025,China) |
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| Abstract: | In this paper,a Lagrange problem of systems governed by a class of second order nonlinear integro-differential equations is considered.The principal operator has not any compactness in the systems.Attaching conditions to the control variable,we finally prove the existence of optimal controls at hand. |
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| Keywords: | second-order equation optimal control existence weak convergence |
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