具偏差变元的高阶中立型泛函微分方程的周期解存在性问题  

On the existence of periodic solutions for a kind of high-order neutral functional differential equation

作　　者：李晓静[1] 

机构地区：[1]安徽师范大学数学系,安徽芜湖241000

出　　处：《纯粹数学与应用数学》2007年第3期394-401,共8页Pure and Applied Mathematics

基　　金：安徽省教育厅自然科学基金重点项目资助(2004kj166zd)

摘　　要：利用Fourier级数理论,伯努利数理论和重合度理论研究了一类具偏差变元的高阶中立型泛函微分方程的周期解问题,得到了周期解存在的充分条件.By means of the theory of Fourier expansions, bernoullinumber theory and continuation theorem of coincidence degree theory, some new results on the existence of periodic solutions for a kind of high-order neutral functional differential equation are obtained.

关 键 词：高阶 中立型泛函微分方程 重合度 周期解 

分 类 号：O175.7[理学—数学]