| 引用本文： |
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秦发金,欧伯群.一类具有时滞模型的平稳周期振荡[J].广西科学院学报,2000,(2):57-61. [点击复制]
- Qin Fajin,Ou Boqun.On the Existence and Stability of Periodic Solutions for a Class of Equations with Delay[J].Journal of Guangxi Academy of Sciences,2000,(2):57-61. [点击复制]
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| 摘要: |
| 研究一类具有时滞模型:ui(t)=-bi(t)ui(t)+∑j=1nTij(t)fj(uj(t-τ))+Ii(t,ui)的周期振荡,利用重合度和V-泛函方法,得到了该模型存在唯一稳定的周期振荡条件、推广和改进了文献[1]的结果. |
| 关键词: 时滞 周期振荡 重合度 |
| DOI： |
| 投稿时间：1999-12-28修订日期：2000-04-12 |
| 基金项目: |
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| On the Existence and Stability of Periodic Solutions for a Class of Equations with Delay |
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Qin Fajin1, Ou Boqun2
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| (1.Dept. of Math., Liuzhou Teachers College, Liuzhou, 545003;2.Dept. of Math., Ginzhou Teachers College, Ginzhou, 535000) |
| Abstract: |
| By using coincidence degree and Liapunov functional, some sufficient conditions are obtained for the existence, uniqueness and stability of periodic solutions for a class of equations with delay:ui(t)=-bi(t) ui(t) +∑j=1nTij(t) fj(uj(t-τ)) +Ii(t,ui). |
| Key words: delay periodic oscillation coincidence degree |
