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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
引用本文:李晓静. 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[J]. 纯粹数学与应用数学, 2007, 23(3): 394-401
作者姓名:李晓静
作者单位:安徽师范大学数学系,安徽,芜湖,241000
基金项目:安徽省教育厅自然科学基金重点项目
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.

关 键 词:高阶  中立型泛函微分方程  重合度  周期解
文章编号:1008-5513(2007)03-0394-08
修稿时间:2006-10-18

On the existence of periodic solutions for a kind of high-order neutral functional differential equation
LI Xiaojing. On the existence of periodic solutions for a kind of high-order neutral functional differential equation[J]. Pure and Applied Mathematics, 2007, 23(3): 394-401
Authors:LI Xiaojing
Affiliation:Department of Mathematics, Anhui Normal University, Wuhu 241000, China
Abstract:By means of the theory of Fourier expansions,bernoullinumber theory and conti-nuation 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.
Keywords:High-order  Neutral functional differential equation  Coincidence degree  Periodic solution
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