| 一阶常微分方程组初值问题解的实例研究 |
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| 引用本文： | 王锐利.一阶常微分方程组初值问题解的实例研究[J].渭南师范学院学报,2011,26(2):29-32. |
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| 作者姓名： | 王锐利 |
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| 作者单位： | 河南济源职业技术学院,河南,济源,454650 |
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| 摘 要： | 文章对一阶常微分方程组初值问题解的唯一性进行了探讨，并给出了相应的实例加以比较研究，以加深对一阶常微分方程组存在唯一性定理的理解和应用．
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| 关 键 词： | 一阶常微分方程组 初值问题 解的唯一性 |
Case Studies of Initial Value Problem of First-order Ordinary Differential Equation |
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| WANG Rui-li.Case Studies of Initial Value Problem of First-order Ordinary Differential Equation[J].Journal of Weinan Teachers College,2011,26(2):29-32. |
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| Authors: | WANG Rui-li |
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| Institution: | WANG Rui-li(Jiyuan Vocational and Technical College,Jiyuan 454650,China) |
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| Abstract: | The paper proves the uniqueness of solution on system of first order ordinary differential equations initial value problem under Lipchitz condition by three kinds of ways,and they are compared through an example.Furthermore,two examples are presented to ensure the uniqueness which can deduce new conditions,so that we can deepen our understanding of existence and uniqueness theorem. |
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| Keywords: | uniqueness of solution Lipchitz condition initial value problem |
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