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一类中立型泛函微分方程的周期解
引用本文:程利芳,杨红艳.一类中立型泛函微分方程的周期解[J].数学学习,2014(1):74-76,91.
作者姓名:程利芳  杨红艳
作者单位:中原工学院理学院
摘    要:利用K-集压缩算子拓扑度抽象连续定理,得到一类带分布时滞的中立型泛函微分方程存在周期解的充分条件.

关 键 词:Fredholm算子  非紧性测度  K-集压缩  双线性泛函

A Periodic Solution for a Class of Neutral Functional Differential Equations
CHENG Lifang;YANG Hongyan.A Periodic Solution for a Class of Neutral Functional Differential Equations[J].Studies In College Mathematics,2014(1):74-76,91.
Authors:CHENG Lifang;YANG Hongyan
Institution:CHENG Lifang;YANG Hongyan;School of Science,Zhongyuan University of Technology;
Abstract:In this paper,by using an abstract continuous theorem of K-set contractive operator,we obtain a sufficient condition for the existence of a periodic solution for a class of neutral functional differential equations with distributed delay.
Keywords:Fredholm operator  measure of noncompactness  K-set condense  bilinear function
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