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高阶非线性中立型微分方程的周期解 被引量:4

Periodic solutions of higher order nonlinear neutral differential equations
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摘要 利用k-集压缩延拓理论 ,研究了一类高阶非线性中立型微分方程周期解的存在性 ,推广了文 [1 ],[2 ]的相应结果 . In this paper,we study the existence of periodic so lutions for a class of higher order nonlinear neutral differential equations by using the method of the continuation theory for k-set contractions.The corresponding results in [1,2] are extended.
作者 房辉
出处 《纯粹数学与应用数学》 CSCD 2000年第2期14-18,共5页 Pure and Applied Mathematics
基金 云南省应用基础研究基金资助项目
关键词 周期解 中立型微分方程 非线性 存在性 neutral type periodic solution k-set contraction
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  • 2韩飞,王全义.具状态依赖时滞微分方程的周期正解[J].华侨大学学报(自然科学版),2005,26(4):357-360. 被引量:9
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  • 8Wang Lianglong,Wang Zhicheng,Zou Xingfu. Periodic Solutions of Neutral Functional Differential Equations[J].Journal of the London Mathematical Society,2002,(02):439-452.doi:10.1112/S0024610701003076.
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  • 10Lu Shiping,Gui Zhanjie,Ge Weigao. Periodic solutions to a second order nonlinear neutral functional differential equation in the critical case[J].Nonlinear Analysis-Theory Methods and Applications,2006.1587-1607.

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