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一类具有混合时滞的二阶中立型泛函微分方程的正周期解

Positive Periodic Solution for A Class of Second-order Neutral Functional Differential Equation with Mixed Delay
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摘要 文章研究了一类具有混合时滞的中立型泛函微分方程,通过应用Krasnoselskii不动点定理以及一些分析技巧,得到了关于该方程的正周期解的存在性,从而推广了已有文献的结果. In this article, a class of neutral functional differential equation with mixed delay is considered. By using Krasnoselskii's fixed-point theorem and some analytical skills, some results ensuring the existence of positive periodic solutions of the system are obtained, which improve some recent work.
出处 《合肥学院学报(自然科学版)》 2011年第1期4-6,12,共4页 Journal of Hefei University :Natural Sciences
基金 国家自然科学基金项目(10771001) 教育部博士学科点基金(20093401110001) 安徽省高校自然科学研究项目(KJ2010ZD02 KJ2009A005Z) 安徽省自然科学基金项目(090416237) 安徽高校省级优秀青年人才基金项目(2010SQRL159)资助
关键词 中立型泛函微分方程 正周期解 KRASNOSELSKII不动点定理 neutral functional differential equations positive periodic solution Krasnoselskii's fixedpoint theorem
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参考文献5

  • 1Freedman H I,Wu J.Periodic Solutions of Single-species Models with Periodic Delay[J].SLAM Journal of Mathematical Analysis,1992,23:689-701.
  • 2Kuang Y.Delay Differential Equations with Applications in Population Dynamics[M].New York:Academic Press,1993:15-62.
  • 3Liu G R,Yan J R,Zhang F Q.Positive Periodic Solutions for A Neutral Delay Lotka-Volterra System[J].Nonlinear Analysis TMA,2007,67:2642-2653.
  • 4Luo Y,Wang W B,Shen J H.Existence of Positive Periodic Solutions for Two Kinds of Neutral Functional Differential Equations[J].Applied Mathematics Lette,2008,21(6):581-587.
  • 5Cheung Wing Sum,Ren Jingli,Han Weiwei.Positive Periodic Solution of Second-order Neutral Function Differential Equations[J].Nonlinear Analysis,2009,71:3948-3955.

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