| 微分中值定理的应用及推广 |
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| 引用本文： | 张武军,魏保军,张冬燕. 微分中值定理的应用及推广[J]. 高等数学研究, 2014, 0(5): 16-17 |
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| 作者姓名： | 张武军 魏保军 张冬燕 |
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| 作者单位： | 信息工程大学理学院,河南郑州450002 |
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| 摘 要： | 介绍应用微分中值定理时，构造所需辅助函数的两种有效方法：观察法和解微分方程法。并通过变量代换法化无限为有限，将罗尔定理的应用推广到无限区间上。
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| 关 键 词： | 微分中值定理 罗尔定理 微分方程 |
Application and Generalization of Differential Mean Value Theorem |
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| ZHANG Wujun,WEI Baojun,ZHANG Dongyan. Application and Generalization of Differential Mean Value Theorem[J]. Studies In College Mathematics, 2014, 0(5): 16-17 |
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| Authors: | ZHANG Wujun WEI Baojun ZHANG Dongyan |
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| Affiliation: | (School of Sciences, Information Engineering University, Zhengzhou 450002, PRC) |
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| Abstract: | This paper introduces two effective methods , observation and using differential equation , to construct auxiliary functions in applying differential mean value theorem .The paper extends also Rolle theorem to infinite interval by using substitutions . |
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| Keywords: | differential mean value theorem Rolle theorem differential equation |
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