一类具有排斥型奇性的中立型Linard方程周期正解的存在性  

Existence of Positive Periodic Solutions for Neutral Linard Equations with a Singularity of Repulsive Type

作　　者：鲁世平[1] 牛亮 郭原志 陈丽娟[1] LU Shiping;NIU Liang;GUO Yuanzhi;CHEN Lijuan(College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China)

机构地区：[1]南京信息工程大学数学与统计学院,江苏南京210044

出　　处：《应用数学》2018年第3期481-489,共9页Mathematica Applicata

基　　金：国家自然科学基金(11271197)

摘　　要：利用Mawhin重合度拓展定理,研究一类具有排斥型奇性的中立型Linard方程周期问题.在强奇性条件下,获得周期正解存在性的新结果.本文允许方程在无穷远点具有不定型奇性,改进了已有文献中的相关结论.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 

分 类 号：O175.14[理学—数学]