Liénard系统周期解的讨论  

Study on Periodic Solutions of Liénard Systems

作　　者：臧子龙[1] ZANG Zi-long(School of Mathematics,Lanzhou City University,Lanzhou Gansu 730070)

机构地区：[1]兰州城市学院数学学院,甘肃兰州730070

出　　处：《甘肃高师学报》2018年第2期12-14,共3页Journal of Gansu Normal Colleges

摘　　要：应用构造Liapunov函数的方法,讨论了非线性微分方程解的存在唯一性.同时给出了Liénard方程存在唯一周期解的充分条件.In this paper,the existence and uniqueness of almost periodic solutions for some nonlinear differential equation systems are studied by the method of constituting Liapunov function.A sufficient condition is obtained for the existence and uniqueness of almost periodic solution of Liénard equation.

关 键 词：LIÉNARD方程 周期解的存在性唯一性 非线性方程 

分 类 号：O175.14[理学—数学]