微分介值性命题证明中辅助函数构造两法

Two Constructive Methods of Auxiliary Functions in The Proof of Differential Intermediate Value Propositions

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。

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.