| 反演与变分不等式解的存在性 |
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| 引用本文： | 朱文新,范丽亚.反演与变分不等式解的存在性[J].聊城大学学报(自然科学版),2006,19(3):17-19,93. |
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| 作者姓名： | 朱文新 范丽亚 |
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| 作者单位： | [1]天津工业大学理学院,天津300160 [2]聊城大学数学科学学院,山东聊城252059 |
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| 基金项目： | 天津市高校科技发展基金（20040401）资助课题. |
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| 摘 要： | 利用元素例外族引申出无穷小元素例外族，并通过反演运算，得到了两个例外族的对偶．利用这些概念和标量导数研究了变分不等式问题解的存在性。
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| 关 键 词： | 变分不等式 对偶 （无穷小）元素例外族 标量导数 反演 |
| 文章编号： | 1672-6634（2006）03-0017-03 |
| 收稿时间： | 2006-03-01 |
| 修稿时间： | 2006-03-01 |
Solution Existence for Variational Inequalities and Inversions |
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| ZHU Wen-xin,FAN Li-ya.Solution Existence for Variational Inequalities and Inversions[J].Journal of Liaocheng University:Natural Science Edition,2006,19(3):17-19,93. |
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| Authors: | ZHU Wen-xin FAN Li-ya |
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| Institution: | 1.School of Seienee,Tianjin Polyteehnie University,Tianjin 300160,China; 2 School of Mathematies Seienee,Liaoeheng University,Liaoeheng 252059 ,China |
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| Abstract: | This paper introduces an infinitesimal exceptional family of elements by means of an exceptional family of elements. By using inversion operation, duals of these exceptional families are obtained. By view of these notions and the scalar derivatives, solution existence of variational inequalities are studied. |
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| Keywords: | variational inequality dual (infinitesimal) exceptional family of elements scalar derivative inversion |
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