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微分方程在证明微分中值定理类问题中的应用
引用本文:文香丹. 微分方程在证明微分中值定理类问题中的应用[J]. 延边大学学报(自然科学版), 2005, 31(3): 232-234
作者姓名:文香丹
作者单位:延边大学理学院数学系,吉林延吉133002
摘    要:利用解微分方程的方法来求微分中值定理类问题的辅助函数,并用这一辅助函数证明一些微分中值定理类问题.

关 键 词:微分方程 微分中值定理 辅助函数
文章编号:1004-4353(2005)03-0232-03
收稿时间:2005-04-27
修稿时间:2005-04-27

Applying of the saluting differential equations in proving the thing of differential intermediate value theorems
WEN Xiang-dan. Applying of the saluting differential equations in proving the thing of differential intermediate value theorems[J]. Journal of Yanbian University (Natural Science), 2005, 31(3): 232-234
Authors:WEN Xiang-dan
Affiliation:Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China
Abstract:To prove the problems of the differential intermediate value theorems families is able to use some auxiliary functions. In this paper, the method of saluting differential equations is used to find the auxiliary functions, and to prove some problems of differential intermediate value theorems with them.
Keywords:differential equations   differential intermediate value theorem   auxiliary functions
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