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一类具复杂偏差变元的中立型微分方程的周期解
引用本文:刘锡平,贾梅.一类具复杂偏差变元的中立型微分方程的周期解[J].数学研究与评论,2006,26(4):811-818.
作者姓名:刘锡平  贾梅
作者单位:上海理工大学理学院,上海,200093
基金项目:上海市教委科研基金(05EZ52)
摘    要:本文研究了一类具复杂偏差变元的中立型泛函微分方程■(t)=θ■(t-r) α(t)f(x(t)) β(t)g(x(x(t))) p(t)的周期解的存在性,得到了周期解存在的充分条件,并给出了所得结论的几个简单应用.

关 键 词:复杂偏差变元  泛函微分方程  周期解  拓扑度
文章编号:1000-341X(2006)04-0811-08
收稿时间:09 17 2004 12:00AM
修稿时间:2004年9月17日

Existence of Periodic Solutions to a Type of First Order Neutral Functional Differential Equation with Complex Deviating Argumen
LIU Xi-ping and JIA Mei.Existence of Periodic Solutions to a Type of First Order Neutral Functional Differential Equation with Complex Deviating Argumen[J].Journal of Mathematical Research and Exposition,2006,26(4):811-818.
Authors:LIU Xi-ping and JIA Mei
Institution:College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
Abstract:The paper studies the existence of periodic solutions to a type of the first order neutral functional differential equations with complex deviating argument $\dot{x}(t)=\theta\dot{x}(t-\tau)+\alpha (t)f(x(t))+\beta (t)g(x(x(t)))+p(t)$, obtains sufficient conditions for existence of the periodic solutions, and gives a few simple applications of the theory.
Keywords:functional differential-iterative equation  periodic solution  topological degree
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