摘要
研究了一类具有奇异和偏差变元的二阶Lienard型中立微分方程的正周期解的存在性通过利用重合度理论和不等式分析技巧,获得了方程正周期解存在性新的充分条件,推广和改进了早期文献的相关结果.最后,给出一个例子,说明所得结果的可行性.
The existence of positive periodic solutions for a class of second-order neutral Lienard differential equations with a singularity and deviating arguments are studied. By employing continuation theorem of coincidence degree theory and inequality analysis technique, some new sufficient conditions of the existence of positive periodic solutions are obtained. Which extend and improve previously known results. Finally, an example is given to illustrate the feasibility of obtained results.
作者
覃国锐
黄广谋
姚晓洁
QIN Guo-rui;HUANG Guang-mou;YAO Xiao-jie(College of mathematics and computer science, Science &: Technology Normal University, Laibin 546199 China;College education and psychology, Science &: Technology Normal University, Laibin 546199, China;College of mathematics and computer science, Science & Technology Normal University, Laibin 546199 China)
出处
《数学的实践与认识》
北大核心
2018年第9期214-222,共9页
Mathematics in Practice and Theory
基金
广西高校非线性动力系统仿真与控制重点实验室培育基地项目
关键词
二阶Lienard型中立微分方程
奇异
偏差变元
正周期解
重合度
second-order neutral Lienard differential equations
singularity
deviating argu- ment
positive periodic solutions
coincidence degree