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二阶非线性泛函微分方程的周期解
引用本文:龙辉平,张国辉,侯新华.二阶非线性泛函微分方程的周期解[J].湖南城市学院学报(自然科学版),2008,17(4).
作者姓名:龙辉平  张国辉  侯新华
作者单位:1. 湖南工业职业技术学院,商贸旅游系,长沙,410208
2. 衡阳师范学院,数学系,湖南,衡阳,421008
摘    要:利用Mawhin的重合度理论,研究了二阶非线性泛函微分方程周期解的存在性,并改进推广了已有文献中的相应结论.

关 键 词:重合度  非线性泛函微分方程  周期解

Periodic Solutions to Second Order Nonlinear Functional Differential Equations
LONG Hui-ping,ZHANG Guo-hui,HOU Xin-hua.Periodic Solutions to Second Order Nonlinear Functional Differential Equations[J].Journal of Hunan City University:Natural Science,2008,17(4).
Authors:LONG Hui-ping  ZHANG Guo-hui  HOU Xin-hua
Institution:1.Department of Trade and Travel;Hunan Industry Vocational College;Changsha;Hunan 410208;China;2.Department of Mathematics;Hengyang Normal University;Hengyang;Hunan 421008;China
Abstract:In this paper,we study the existence of periodic solutions to the second Order nonlinear functional differential equations by using the coincidence degree theory due to Mawhin.We also improve and extend some existing ones in the literature.
Keywords:Coincidence degree  nonlinear functional differential equation  periodic solution  
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