| 对函数零点个数的几个判别准则 |
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| 引用本文： | 张文红. 对函数零点个数的几个判别准则[J]. 贵州师范大学学报(自然科学版), 1997, 15(3): 65-69 |
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| 作者姓名： | 张文红 |
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| 作者单位： | 贵州财经学院教务处 |
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| 摘 要： | 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。
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| 关 键 词： | 零点，不动点，偶数，同伦道路，正则值 |
SEVERAL DISCRIMINATING THEOREMS ON ZERO NUMBER OF FUNCTIONS |
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| Zhang Wenhong. SEVERAL DISCRIMINATING THEOREMS ON ZERO NUMBER OF FUNCTIONS[J]. Journal of Guizhou Normal University(Natural Sciences), 1997, 15(3): 65-69 |
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| Authors: | Zhang Wenhong |
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| Abstract: | 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 |
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| Keywords: | Zero Fixed-Point Homotopy-Path Reqular-Value |
| 本文献已被 CNKI 维普 等数据库收录！ |
