| 一类条件变分问题解的存在性 |
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| 引用本文： | 王福胜,张可村.一类条件变分问题解的存在性[J].应用数学学报,2007,30(6):1030-1039. |
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| 作者姓名： | 王福胜 张可村 |
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| 作者单位： | 西安交通大学理学院,西安,710049 |
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| 摘 要： | 本文对一类有广泛应用价值的不规则的条件泛函极值问题的解的存在性及解的解析表示式进行了深入系统的讨论,得到了一系列在理论及应用上颇有价值的结果.对该类问题最优解的存在性的证明填补了这方面的空白.
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| 关 键 词： | 泛函极值 无限维空间 最优解的存在性 凸性 |
| 收稿时间： | 2005-09-23 |
| 修稿时间： | 2007-11-02 |
The Existence of Solution to a Class of Constrained Variational Problem |
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| WANG FUSHENG,ZHANG KECUN.The Existence of Solution to a Class of Constrained Variational Problem[J].Acta Mathematicae Applicatae Sinica,2007,30(6):1030-1039. |
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| Authors: | WANG FUSHENG ZHANG KECUN |
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| Abstract: | In this paper, the existence and expression of solution about extremal problem on a class of irregularly constrained functional that can be extensively applied have been deeply and systematically discussed and analyzed. In particular, we achieved a series of valuable results both in theory and in application. Meanwhile, the proof on the existence of extremal solution about this kind of problem fills a gap in this field. |
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| Keywords: | functional extremal value infinite dimension space the existence of extreme solution convex |
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