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反周期发展变分不等式系统的最优控制
引用本文:韦维.反周期发展变分不等式系统的最优控制[J].贵州大学学报(自然科学版),2002,19(2):100-107.
作者姓名:韦维
作者单位:贵州大学数学系,贵州,贵阳,550025
摘    要:首先讨论Hilbert空间中发展变分不等式反周期解的存在性,进而给出对应最优控制存在的充分条件.最后,将理论结果应用到非线性偏微分方程及相应的最优控制问题中.

关 键 词:存在性  极大单调算子  发展变分不等式  最优控制  非线性偏微分方程

Optimal Control of Systems Governed by Anti- periodic Evolution Variational Inequatlities
Abstract.Optimal Control of Systems Governed by Anti- periodic Evolution Variational Inequatlities[J].Journal of Guizhou University(Natural Science),2002,19(2):100-107.
Authors:Abstract
Abstract:The new existence theorem of anti-periodic solutions to evolution variational inequalities in a Hilbert space is established.The sufficient conditions for the existence of the corresponding Langrange optimal control are presented.An example of theory applied to an nonlinear partical differential equation is also discussed.
Keywords:existence  maximal monotone operator  evolution variational inequalities  optimal control  nonlinear partial differential equation
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