具有奇异和偏差变元的二阶Liénard型中立微分方程的正周期解  

Positive Periodic Solutions for Secondorder Neutral Lienard Differential Equations with a Singularity and Deviating Arguments

作　　者：覃国锐 黄广谋[2] 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)

机构地区：[1]广西科技师范学院数学与计算机科学学院,广西来宾546199 [2]广西科技师范学院教育与心理科学学院,广西来宾546199

出　　处：《数学的实践与认识》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

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.

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 

分 类 号：O175[理学—数学]