微分方程在证明微分中值定理类问题中的应用

Applying of the saluting differential equations in proving the thing of differential intermediate value theorems

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.

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.