| 微分介值性命题证明中辅助函数构造两法 |
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| 引用本文： | 刘永莉.微分介值性命题证明中辅助函数构造两法[J].甘肃高师学报,2004,9(5):10-11. |
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| 作者姓名： | 刘永莉 |
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| 作者单位： | 兰州师范高等专科学校,甘肃兰州,730070 |
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| 摘 要： | 本文介绍了利用微分方程的通解及函数的插值多项式构造辅助函数的方法 ,并对一些典型问题给出了其辅助函数的构造形式。
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| 关 键 词： | 辅助函数 微分方程 插值多项式 罗尔定理 |
| 文章编号： | 1008-9020(2004)05-010-02 |
| 修稿时间： | 2003年12月26 |
Two Constructive Methods of Auxiliary Functions in The Proof of Differential Intermediate Value Propositions |
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| Liu Yongli.Two Constructive Methods of Auxiliary Functions in The Proof of Differential Intermediate Value Propositions[J].Journal of Gansu Normal College,2004,9(5):10-11. |
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| Authors: | Liu Yongli |
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| Abstract: | In this paper,we introduce the methods of auxiliary functions by using the general solutions of differential equations and interpolating polynomials.In addition,we give the constructive forms of the auxiliary functions for some typical problems. |
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| Keywords: | auxiliary function differential equation interpolating polynomial Rolle theorem |
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