应用数学2018,Vol.31Issue(3):481-489,9.
一类具有排斥型奇性的中立型Liénard方程周期正解的存在性
Existence of Positive Periodic Solutions for Neutral Liénard Equations with a Singularity of Repulsive Type
摘要
Abstract
By using Mawhin's continuation theorem, the problem of periodic solutions is studied for neutral Liénard equation with a singularity of repulsive type. Under the strong singularity condition, a new result on the existence of positive periodic solutions is obtained. It's interesting that is that the singularity at infinity is allowed indefinite type, which generalizes the corresponding results in known literature.关键词
中立型方程/周期解/排斥型奇性/Mawhin重合度拓展定理Key words
Neutral equation/Periodic solution/Singularity of repulsive type/Mawhin's continu-ation theorem分类
数理科学引用本文复制引用
鲁世平,牛亮,郭原志,陈丽娟..一类具有排斥型奇性的中立型Liénard方程周期正解的存在性[J].应用数学,2018,31(3):481-489,9.基金项目
国家自然科学基金(11271197) (11271197)