| 一个半线性椭圆型变分不等式约束下的最优控制问题解的存在性 |
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| 引用本文： | 姜今锡,刘文斌,金艳. 一个半线性椭圆型变分不等式约束下的最优控制问题解的存在性[J]. 延边大学学报(自然科学版), 2014, 0(4): 295-298 |
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| 作者姓名： | 姜今锡 刘文斌 金艳 |
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| 作者单位： | 延边大学理学院 数学系, 吉林 延吉 133002 |
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| 摘 要： | 目标泛函相对于状态函数不可微的情形下,利用分解法和引入罚微分方程式等过程,研究了一个半线性椭圆型变分不等式最优控制问题,并证明了其解的存在性.
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| 关 键 词： | 椭圆型变分不等式 特征函数 最优控制 |
Existence of solution for an optimal control problem governed by semi-linear elliptic variational inequality |
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| JIANG Jinxi,LIU Wenbin,JIN Yan. Existence of solution for an optimal control problem governed by semi-linear elliptic variational inequality[J]. Journal of Yanbian University (Natural Science), 2014, 0(4): 295-298 |
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| Authors: | JIANG Jinxi LIU Wenbin JIN Yan |
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| Affiliation: | Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China |
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| Abstract: | In this paper,an optimal control problem governed by semi-linear elliptic variational inequality is studied by means of decomposition and process of introducing a penalty differential equation,and the existence of solution is proved,where the obj ective function is not differential with respect to the state function. |
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| Keywords: | elliptic variational inequality characteristic function optimal control |
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