具无穷时滞高阶中立型微分方程的周期解  

Periodic solutions for higher order neutral functional differential equation with infinite delay

作　　者：陈仕洲[1] 

机构地区：[1]韩山师范学院数学与信息技术系,广东潮州521041

出　　处：《纯粹数学与应用数学》2010年第3期376-379,共4页Pure and Applied Mathematics

摘　　要：利用重合度理论研究了一类具有无穷时滞高阶中立型泛函微分方程周期解的存在性,获得了该方程存在周期解的充分条件,推广和改进了二阶方程的相应结果.In this paper,existence of periodic solutions higher order neutral functional differential equation with infinite delay is studied,by using the theorem of coincidence degree,the suffcient conditions are given for the existence of periodic solutions.The results generalize and improve some known results on the second order equation.

关 键 词：无穷时滞 高阶 中立型泛函微分方程 周期解 重合度理论 

分 类 号：O175.12[理学—数学]