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一类高维脉冲泛函微分方程周期解的存在性(英文) 被引量:2

The Existence of Positive Periodic Solutions for A Class of Higher-Dimension Functional Differential Equations with Impulses
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摘要 使用Leray-Schauder不动点定理研究一类高维脉冲泛函微分方程的正周期解的存在性,获得了该类方程存在正周期解的充分条件,改进了已知文献中的结果. In this paper,by using Leray-Schauder theorem,the authors discuss the existence of positive periodic solutions for a class of higher-dimension impulsive functional differential equations.Some sufficient conditions for the existence of positive periodic solutions are obtained,which improve the results of literature.
作者 张素平 蒋威
出处 《生物数学学报》 2014年第1期17-22,共6页 Journal of Biomathematics
基金 Supported by the National Nature Science Foundation of China(No.10771001) National Science Foundation of Educational Committee of Anhui Province of China(No.KJ2011B052) National Science Foundation of Science and Technology Department of Anhui Province of China(No.11040606M01)
关键词 正周期解 泛函微分方程 脉冲 LERAY-SCHAUDER不动点定理 Positive periodic solution Functional differential equations Impulse Leray-Schauder theorem
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参考文献3

  • 1姚志健.几类具有无穷时滞泛函微分方程正周期解的存在性[J].生物数学学报,2011,26(1):73-80. 被引量:4
  • 2Zhijun Zeng.Existence and multiplicity of positive periodic solutions for a class of higher-dimension functional differential equations with impulses[J].Computers and Mathematics with Applications.2009(10)
  • 3Na Zhang,Binxiang Dai,Xiangzheng Qian.Periodic solutions for a class of higher-dimension functional differential equations with impulses[J].Nonlinear Analysis.2006(3)

二级参考文献10

共引文献3

同被引文献6

  • 1Lakshmikantham V,Bainov DD,Simeonov PS.Theory of impulsive differential equations[]..1989
  • 2Mengxing He,Anping Liu,Zhuoling Ou.Stability for large systems of partial functional differential equations: iterative analysis method[J]. Applied Mathematics and Computation . 2002 (2)
  • 3Mengxing He.Global Existence and Stability of Solutions for Reaction Diffusion Functional Differential Equations[J]. Journal of Mathematical Analysis and Applications . 1996 (3)
  • 4Guo Dajun,Liu Xinzhi.Extremal solutions of nonlinear impulsive integro-differential equations in Banach spaces. Journal of Mathematical . 1993
  • 5Guo D,Lakshmikantham V,Liu X.Nonlinear Integral Equations in Abstract Spaces. . 1996
  • 6郭建敏,郭彩霞,康淑瑰.一类非线性分数阶奇异耦合系统正解的存在性[J].生物数学学报,2013,28(1):143-148. 被引量:6

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