具有奇异的高阶Liénard方程正周期解  

Positive Periodic Solutions for High-order Liénard Differential Equations with Singularity

作　　者：姚晓洁[1] 秦发金[1] YAO xiaojie;QIN Fajin(Guangxi Science&Technology Normal University,Laibin 546199,China)

机构地区：[1]广西科技师范学院,广西来宾546199

出　　处：《广西科技师范学院学报》2020年第4期136-140,127,共6页Journal of Guangxi Science & Technology Normal University

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的高阶Liénard方程的周期解存在性.利用Mawhin连续定理和不等式分析技巧,获得其正周期解存在性的充分条件,并指出了解的具体存在范围,推广和改进了已有文献的相关结果.最后,给出一个例子表明所得结果的可行性.In this paper,the existence of periodic solutions for a class of singular higher order Liénard equation is studied.By using Mawhin continuity theorem and inequality analysis technique,sufficient conditions for the existence of positive periodic solutions are ob⁃tained,and the existence range of solutions is pointed out.The related results in the literature are generalized and improved.Finally,an ex⁃ample is given to show the feasibility of the results.

关 键 词：奇异 高阶Liénard方程 Mawhin连续定理 正周期解 

分 类 号：O175.8[理学—数学]