| 引用本文： |
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姚晓洁,秦发金.一类具有偏差变元的Lienard型方程的周期解[J].广西科学,2007,14(2):110-112,116. [点击复制]
- YAO Xiao-jie,QIN Fa-jin.Periodic Solutions of The Lienard-type Equation with Delays and Deviating Argument[J].Guangxi Sciences,2007,14(2):110-112,116. [点击复制]
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| 摘要: |
| 利用Mawhin重合度理论,研究一类具有偏差变元Lienard型方程x″(t)+∑i=1nhi(x)|x'|2αi+f(t,x(t),x(t-τ0)))x'(t)+g(t,x(t-τ1(t)))=p(t)的周期解的存在性,得到其周期解存在的新的充分条件,推广和改进文献[1,2]的相关结果. |
| 关键词: Lienard型方程 周期解 存在性 重合度 |
| DOI： |
| 投稿时间：2006-07-03 |
| 基金项目: |
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| Periodic Solutions of The Lienard-type Equation with Delays and Deviating Argument |
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YAO Xiao-jie, QIN Fa-jin
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| (Department of Mathematics and Computer Science, Liuzhou Teachers College, Liuzhou, Guangxi, 545004, China) |
| Abstract: |
| By using the coincidence degree theory of Mawhin, we study the existence of periodic solutions of the Lienard-type equation x″ (t)+∑i=1nhi (x)|x'|2αi+f (t, x (t), x (t-τ0)))x' (t)+g (t, x (t-τ1 (t)))=p (t) with delays and deviating argument, Some new sufficient condition of periodic solutions is obtained. The results on reference[1, 2] are extended and improved. |
| Key words: Lienard-type equation periodic solutions existence coincidence degree |
