一类广义Liénard型方程的极限环  

The Limit Cycles of a Class of Generalized Lienard -type Equation

作　　者：杨启贵[1] 

机构地区：[1]广西师范大学数学与计算机科学系,讲师桂林541004

出　　处：《红河学院学报》1995年第4期18-23,共6页Journal of Honghe University

摘　　要：本文讨论广义Lienard系统(E):x+(f(x)+k(x)x)+g(x)=0,获得了系统(E)的极限环存在,至多有一个或两个的充分条件.这些条件不仅简单和易于验证,而且推广了〔5,6〕的结果.This paper discusses the generalized Lienard equation (E): x(f(x) +k (x) x)x +g (x) =0 ?Some sufficient conditions for the existence of limit cycle and havingat most one or two limit cycles arrounding singular point of system (E) are obtained . Those giving conditions of our results are simple and easy to check. In particular, the results in paper [5, 6] are extended.

关 键 词：广义Lienaed方程 极限环 存在性 唯一性 唯二性 

分 类 号：O175[理学—数学]