高阶中立型泛函微分方程的周期解  

Periodic Solutions for a Kind of High-order Neutral Functional Differential Equation

作　　者：文慧[1] 刘心歌[1] 

机构地区：[1]中南大学数学科学与计算技术学院,长沙410083

出　　处：《数学理论与应用》2009年第4期75-78,共4页Mathematical Theory and Applications

基　　金：湖南省科技计划项目(№2008FJ3143);湖南青年骨干教师项目;中南大学研究生扶持基金资助

摘　　要：运用迭合度理论和分析的技巧,研究一类具分布时滞的中立型高阶泛函微分方程,并得到了其周期解存在的充分条件。By using the theory of coincidence degree and some analytical skills, the periodic solution to a kind of lfigh - order neutral functional differential equation with distributed delay is studied. A sufficient condition on the existence of periodic solutions for this kind of neutral functional differential equation is obtained.

关 键 词：周期解 中立型泛函微分方程 迭合度理论 

分 类 号：O175[理学—数学]