| 摘要: |
| 证明了一个比较原理,使得方程x=φ(y),y=-f(x)φ(y)-g(x)的周期解存在性定理可以用来判断系统x=φ(y),y=-h(x,y)φ(y)-g(x)的周期解的存在性. |
| 关键词: 广义Liénard系统 比较原理 环域定理 |
| DOI： |
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| 基金项目: |
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| A Comparison Principle for Generalized Liénard's System |
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Yang Qigui, Jiang Youlin
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| (Dept. of Math. and Compt., Guangxi Normal University, 3 Yucailu, Guilin, Guangxi, 541004) |
| Abstract: |
| A comparison principle is given so that the existence of periodic solutions to the system x=φ(y),=-h(x,y)φ(y)-g(x) can be obtained by means of the existence of periodic solutions to the system x=φ(y),=-f(x)φ(y)-g(x). |
| Key words: generalized Liénard system comparison principle annular region theorem |
