| 关于两类函数的大范围同胚 |
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| 引用本文： | 李维国. 关于两类函数的大范围同胚[J]. 中国石油大学学报(自然科学版), 1994, 0(3) |
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| 作者姓名： | 李维国 |
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| 作者单位： | 石油大学数理系 |
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| 摘 要： | 基于微分方程与优化中解存在唯一性问题，对Ｌｉｐｓｃｈｉｔｚ函数类与弱一致单调函数的大范围同胚作了理论上的探讨．推广了一些Ｌｉｐｓｃｈｉｔｚ函数类已有文献的结果，给出了弱一致单调函数的定义以及几个大范围同胚的命题。
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| 关 键 词： | Lipschitz函数；弱一致单调函数；广义导数；大范围同胚 |
GLOBAL HOMEOMORPHISMS OF TWO CL ASSES OF FUNCTIONS |
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| Li Weiguo. GLOBAL HOMEOMORPHISMS OF TWO CL ASSES OF FUNCTIONS[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1994, 0(3) |
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| Authors: | Li Weiguo |
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| Abstract: | On the basis of the existence and uniqueness of the differential equations andoptimization,the global homeomorphisms of the Lipschitz functions and weak-uniformlymonotone functions in theory were discussed.Some new propositions and conclusions wereobtained. |
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| Keywords: | Lipschitz function Weak-uniformly monotone function Generalizedderivate Global homeomorphism |
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