| 引用本文： |
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刘丙辰,罗桂烈,李锋杰.一个概周期微分方程解的存在定理的改进[J].广西科学,2001,8(4):260-261,265. [点击复制]
- Liu Bingchen,Luo Guilie,Li Fengjie.Improvment of an Existence Theorem for an Almost Periodic Differential Equation[J].Guangxi Sciences,2001,8(4):260-261,265. [点击复制]
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| 摘要: |
| 通过Liapunov函数的方法,改进了有关文献结果,放宽了系统dx/dt=f(t,x)+g(t)的概周期解存在、唯一且一致渐近稳定的条件. |
| 关键词: 概周期 Liapunov函数 存在唯一 一致渐近稳定 |
| DOI： |
| 投稿时间：2001-04-16 |
| 基金项目: |
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| Improvment of an Existence Theorem for an Almost Periodic Differential Equation |
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Liu Bingchen, Luo Guilie, Li Fengjie
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| (Math & Comp Sci College, Guangxi Normal University, 3 Yucailu, Guilin, Guangxi, 541004, China) |
| Abstract: |
| Some known results about the equation dx/dt=f (t,x) +g(t) are improved.Wider conditions are obtained for the existence,uniqueness and uniformly asymptotic stability of its almost periodic solution. |
| Key words: almost periodic Liapunov function existence and uniqueness uniformly asymptotic stability |
