广西科学院学报

引用本文：

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]

【打印本页】【在线阅读全文】【下载PDF全文】【查看/发表评论】【下载PDF阅读器】【关闭】

本文已被：浏览 205次下载 242次	码上扫一扫！
一类具有时滞模型的平稳周期振荡
秦发金¹, 欧伯群²
0 字体:加大+\|默认\|缩小-
(1.柳州师范专科学校数学系, 柳州 545003;2.钦州师范专科学校数学系, 钦州 535000)

摘要:

研究一类具有时滞模型:u_i(t)=-b_i(t)u_i(t)+∑_j=1ⁿT_ij(t)f_j(u_j(t-τ))+I_i(t,u_i)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:

On the Existence and Stability of Periodic Solutions for a Class of Equations with Delay

Qin Fajin¹, Ou Boqun²

(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:u_i(t)=-b_i(t) u_i(t) +∑_j=1ⁿT_ij(t) f_j(u_j(t-τ)) +I_i(t,u_i).

Key words: delay periodic oscillation coincidence degree

用微信扫一扫