| 一类广义Liénard型方程的极限环 |
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| 引用本文： | 杨启贵.一类广义Liénard型方程的极限环[J].蒙自师范高等专科学校学报,1995(4). |
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| 作者姓名： | 杨启贵 |
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| 作者单位： | 广西师范大学数学与计算机科学系 讲师，桂林541004 |
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| 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.
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| 关 键 词： | 广义Lienaed方程 极限环 存在性 唯一性 唯二性 |
The Limit Cycles of a Class of Generalized Lienard -type Equation |
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| Yang Qigui.The Limit Cycles of a Class of Generalized Lienard -type Equation[J].Journal of Mengzi Teachers' College,1995(4). |
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| Authors: | Yang Qigui |
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| Abstract: | 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. |
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| Keywords: | Generalized Lienard equation Existence Limit cycle Uniqueness Two-uniqueness |
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