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具无穷时滞高阶中立型微分方程的周期解
引用本文:陈仕洲.具无穷时滞高阶中立型微分方程的周期解[J].纯粹数学与应用数学,2010,26(3):376-379.
作者姓名:陈仕洲
作者单位:韩山师范学院数学与信息技术系,广东,潮州,521041
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.

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

Periodic solutions for higher order neutral functional differential equation with infinite delay
CHEN Shi-zhou.Periodic solutions for higher order neutral functional differential equation with infinite delay[J].Pure and Applied Mathematics,2010,26(3):376-379.
Authors:CHEN Shi-zhou
Institution:CHEN Shi-zhou(Department of Mathematics , Information Technology,Hanshan Normal University,Chaozhou 521041,China)
Abstract: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.
Keywords:infinite delay  higher order  neutral functional differential equation  periodic solution  coincidence degree  
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