摘要
通过具体例子,证明了平面n次系统奇点指数为1的有限远奇点个数的上界不小于(1/2)n(n+1)。为解决Hilbert第十六问题作了必要和基本的工作。
The boundary about the maximum number of singularity index 1 ofthe plane n-th polynomal differential systems is no less than (1/2)n(n+1),which is proved by a specific example providing a necessary and essentialpreparation for solving Hilbert's sixteenth problem.
出处
《吉林化工学院学报》
CAS
1990年第1期55-57,共3页
Journal of Jilin Institute of Chemical Technology
关键词
N次系统
有限远奇点
鞍点
奇点指数
n—th polynomal differential systems
finite singularity
knot
singularity index
