摘要
<正> 考虑微分方程其中h(y)=|y|~σsgny,α>0,f,g为x的连续函数,且满足初值解的唯一性条件、令。
By using the method of Dulac function we investigate the uniqueness of limit cycles surrounding multiple singular points for a type of planar differential systems,and obtain a simple sufficient condition for the uniqueness. In particular,we give a condition for Lienard equation which guarantees the existence of exactly one limit cycle surrounding the multiple singular points.Moreover,we also discuss the examples of cubic systems etc.
出处
《应用数学学报》
CSCD
北大核心
1991年第2期192-196,共5页
Acta Mathematicae Applicatae Sinica