| 微分中值定理的应用及推广 |
| |
| 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].数学学习,2014(5):16-17. |
| |
| 作者姓名： | 张武军 魏保军 张冬燕 |
| |
| 作者单位： | 信息工程大学理学院,河南郑州450002 |
| |
| 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。
|
| 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 |
| |
| ZHANG Wujun,WEI Baojun,ZHANG Dongyan.Application and Generalization of Differential Mean Value Theorem[J].Studies In College Mathematics,2014(5):16-17. |
| |
| Authors: | ZHANG Wujun WEI Baojun ZHANG Dongyan |
| |
| Institution: | (School of Sciences, Information Engineering University, Zhengzhou 450002, PRC) |
| |
| 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 . |
| |
| Keywords: | differential mean value theorem Rolle theorem differential equation |
| 本文献已被 维普 等数据库收录！ |
