| 隐式微分方程的存在唯一性定理 |
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| 引用本文： | 崔伟业,王克.隐式微分方程的存在唯一性定理[J].齐齐哈尔大学学报(自然科学版),1995(1). |
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| 作者姓名： | 崔伟业 王克 |
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| 作者单位： | 齐齐哈尔师范学院，东北师范大学 |
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| 摘 要： | 本文应用压缩映象原理证明了一阶隐式微分方程解的存在唯一性定理。本定理可以看成是Ｐｉｃａｒｄ存在唯一性定理的推广。
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| 关 键 词： | 隐式微分方程，解的存在性，压缩映象原理 |
Unique Existence Theorem for Implicit Ordinary Differential Equations |
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| Cui Weiyie, Wang Ke.Unique Existence Theorem for Implicit Ordinary Differential Equations[J].Journal of Qiqihar University(Natural Science Edition),1995(1). |
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| Authors: | Cui Weiyie Wang Ke |
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| Institution: | Cui Weiyie; Wang Ke(Qiqihar Teacher's College)(Northeast Normal University) |
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| Abstract: | Using the contraction mapping principle, we proved a theorem about the existence of solution for initial value problem of a class of implicit ordinary differential equations of the first order. Our result can be regarded as a extension of the famous Picard Theorem. |
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| Keywords: | Implicit ordinary differential equation Existence of solution Contraction mapping principle |
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