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| 多滞量微分差分方程周期解的存在性 | |
| 引用本文： | 戴庆辉,刘永建,刘永贤.多滞量微分差分方程周期解的存在性[J].湘南学院学报,2006,27(2):13-17. |
| 作者姓名： | 戴庆辉 刘永建 刘永贤 |
| 作者单位： | 1. 湖南省常德市西湖区第一中学,湖南,常德,415921 2. 广西师范大学,数学与计算机科学学院,广西,桂林,541004 3. 广西大学,农学院,广西,南宁,530005 |
| 摘 要： | 通过构造多元函数,定性分析一个耦合自治常微分方程组周期解的存在性,研究了含多个滞量的微分差分方程x′(t)=F(x(t),x(t+τ1),x(t+τ2),…,x(t-τn+1),…,x(t-τn+m)),x′(t)=F(x(t),x(t+τ),x(t+2τ),…,x(t+nτ)),和x′(t)=F(x(t),x(t-τ),x(t-2τ),…,x(t-nτ))周期解的存在性问题,获得系统存在非平凡振动周期解的了几组充分条件,推广和改善了文献3,4,5,8]的有关结果. |
| 关 键 词： | 微分差分方程 周期解 存在性 时滞 |
| 文章编号： | 1672-8173（2006）02-0013-05 |
| 收稿时间： | 2005-11-19 |
| 修稿时间： | 2005年11月19 |
On the Existence of Periodic Solutions of Differential Difference Equations with Several Delays |
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| DAI Qing-hui,LIU Yong-jian,LIU Yong-xian.On the Existence of Periodic Solutions of Differential Difference Equations with Several Delays[J].Journal of Xiangnan University,2006,27(2):13-17. | |
| Authors: | DAI Qing-hui LIU Yong-jian LIU Yong-xian |
| Abstract: | By constructing multi-function and qualitatively analyzing the existence of periodic solutions of a coupled system of autonomous system of differential equations,the existence of non-constant oscillating periodic solutions of differential difference equations with several delaysx′(t)=F(x(t),x(t+τ_1),x(t+τ_2),…,x(t-τ_(n+1)),…,x(t-τ_(n+m))),x′(t)=F(x(t),x(t+τ),x(t+2τ),…,x(t+nτ)),and x′(t)=F(x(t),x(t-τ),x(t-2τ),…,x(t-nτ))is studied.A set of sufficient conditions on the existence is obtained,the results of Paper are extended and improved. |
| Keywords: | Differential difference equation periodic solution existence delay |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |