引用本文: |
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蒋贵荣,罗桂烈.一类Liénard型方程周期解及概周期解的存在唯一性和渐近稳定性[J].广西科学,2002,9(4):250-252. [点击复制]
- Jiang Guirong,Luo Guilie.On Existence,Uniqueness and Asymptotic Stability of Periodic Solutions and Almost Periodic Solutions for Liénard-type Equations[J].Guangxi Sciences,2002,9(4):250-252. [点击复制]
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摘要: |
应用V-函数法讨论具有强迫项的Liénard方程ẍ+f0(x)ẋ+f1(x)ẋ2+g(x)=e(t)周期解与概周期解存在唯一性和渐近稳定性. |
关键词: Liénard型方程 周期解 概周期解 V-函数 存在唯一性 一致渐近稳定性 |
DOI: |
投稿时间:2002-03-18 |
基金项目: |
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On Existence,Uniqueness and Asymptotic Stability of Periodic Solutions and Almost Periodic Solutions for Liénard-type Equations |
Jiang Guirong, Luo Guilie
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(College of Math. and Comp. Sci., Guangxi Normal Univ., 3 Yucailu, Guilin, Guangxi, 541004, China) |
Abstract: |
The sufficient conditions of the existence,uniqueness and asymptotic stability of periodic solutions and almost periodic solutions are abtained for Liénard-type equations by using V-function method. |
Key words: Liénard-type equation periodic solutions almost periodic solutions V-function existence and uniqueness asymptotic stability |