| 用微分方程定义基本初等函数 |
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| 引用本文： | 何敏中,都长清.用微分方程定义基本初等函数[J].首都师范大学学报(自然科学版),1990(1). |
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| 作者姓名： | 何敏中 都长清 |
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| 作者单位： | 北京师范学院数学系
(何敏中)，北京师范学院数学系(都长清) |
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| 摘 要： | 本文用微分方程定义了某些基本初等函数,并由定义推出了它们的一系列基本性质,还证明了这种定义与用普通函数方程来定义是等价的。
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| 关 键 词： | 函数方程 解的存在唯一性 解的延拓 |
Defining Basic Elementary Functions by Using Differential Equations |
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| He Minzhong,Du Changqing.Defining Basic Elementary Functions by Using Differential Equations[J].Journal of Capital Normal University(Natural Science Edition),1990(1). |
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| Authors: | He Minzhong Du Changqing |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper defines Some basic elementary functions by means of differentialequations. Their series of basic properties are deduced from this definition andit is proved that this definition is equivalent to the one defined by ardinary fu-nction ekuations. |
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| Keywords: | function equations existence and uniqueness of solution extension of solution |
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