| 关于一类隐式微分方程的初值问题 |
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| 引用本文： | 王克,崔伟业.关于一类隐式微分方程的初值问题[J].东北师大学报(自然科学版),1995(2):8-10. |
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| 作者姓名： | 王克 崔伟业 |
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| 作者单位： | 东北师范大学数学系，齐齐哈尔师范学院 |
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| 摘 要： | 应用压缩映象原理证明了一类一阶隐式微分方程的初值解的存在唯一性定理，此定理可以看成是经典的Ｐｉｃａｒｄ存在唯一性定理的推广。
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| 关 键 词： | 隐式微分方程 李普希兹条件 初值问题 |
On the initial value problem to a class of implicit differential equations |
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| Wang Ke, Cui Weiyie.On the initial value problem to a class of implicit differential equations[J].Journal of Northeast Normal University (Natural Science Edition),1995(2):8-10. |
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| Authors: | Wang Ke Cui Weiyie |
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| Abstract: | sing the contraction mapping principle,a theorem about the existence and uniqueness of solutions for initial value problem of a class of implicit ordinary differential equations of the first order is proved.Our result can be regarded as a extension of the famous Picard Theorem. |
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| Keywords: | lmplicit differential equation Lipschitz condition contraction mapping principle |
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