对函数零点个数的几个判别准则

SEVERAL DISCRIMINATING THEOREMS ON ZERO NUMBER OF FUNCTIONS

对于函数零点个数为奇数个的问题已经有了许多研究。本文基于Ｓｍａｌｅ定理对函数的零点和不动点个数为偶数的问题进行了一些研究，给出了三个判别定理，并且这些定理的证明是构造性的，可沿同伦道路求出零点。此外，还给出了一个例子。

In this Paper, based on Smale theorem and Leray-Shauder fixed-Point theorem We Study the even-number zeros of functions and give three discriminating theorems The proofs of these theorems are constructive so that the zeros can be found along the homotopy patopy paths