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一类四阶混合型微分方程的周期解
引用本文:覃荣存,杨健,刘佳玉,冯春华.一类四阶混合型微分方程的周期解[J].数学的实践与认识,2009,39(14).
作者姓名:覃荣存  杨健  刘佳玉  冯春华
作者单位:广西师范大学,数学科学学院,广西,桂林,541004
基金项目:广西研究生教育创新计划项目 
摘    要:运用Fourier级数理论和实分析不等式方法,研究了一类四阶混合型微分方程的周期解问题,得到了若干周期解存在性和唯一性的判定定理.

关 键 词:泛函微分方程  混合型  周期解  Fourier级数

Periodic Solutions for a Class of Fourth-order CDES
QIN Rong-cun,YANG Jian,LIU Jia-yu,FENG Chun-hua.Periodic Solutions for a Class of Fourth-order CDES[J].Mathematics in Practice and Theory,2009,39(14).
Authors:QIN Rong-cun  YANG Jian  LIU Jia-yu  FENG Chun-hua
Abstract:The periodic solutions of a class of fourth-order CDEs are studied by applying Fourier series theory and techniques of real analysis inequality,and some decision theorems are obtained for ensuring the existence and uniqueness of periodic solutions.
Keywords:Functional differential equation  compound type  periodic solution  Fourier series
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