| n维广义函数的集值导数 |
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| 引用本文： | 董加礼.n维广义函数的集值导数[J].系统科学与数学,1997,17(3):213-220. |
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| 作者姓名： | 董加礼 |
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| 作者单位： | 吉林工业大学应用数学系!长春，130025(董加礼)，中华人民共和国国家工商行政管理局信息中心!北京，100820(沈阳) |
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| 摘 要： | 本文将文献［9］中给出的一维广义函数的集值导数的某些结果，推广到n维情形，并给出一些与优化有关的其他结果．
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| 关 键 词： | 广义函数 调和表示 非标准分析 集值导数 卷积 |
SET-VALUED DERIVATIVES OF n-DIMENSIONAL SCHWIRTZ DISTRIBUTIONS |
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| Dong Jiali.SET-VALUED DERIVATIVES OF n-DIMENSIONAL SCHWIRTZ DISTRIBUTIONS[J].Journal of Systems Science and Mathematical Sciences,1997,17(3):213-220. |
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| Authors: | Dong Jiali |
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| Institution: | (Department of Applied Mathematics, Jilin University of Technology, Changchun 130056)Shen Yang (Information Center of State Administration for Industry and Commerce, The People'sRepublic of China, Beijing 100820) |
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| Abstract: | In this paper, the set-valued derivatives of n-dimensional distributions are introduced as a generalization of that of one-dimensional distributions defined in 9]. Results corresponding to those given in 9] are also obtained. Moreover, some other results meaningful in optimization are developed. |
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| Keywords: | Schwartz distribution harmonic representation nonstandard analysis setvalued derivative convolution |
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