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带有积分边值条件的二阶脉冲泛函微分方程

Second Order Impulsive Functional Differential Equations with Integral Boundary Conditons
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摘要 考虑一类带有积分边值的二阶脉冲泛函微分方程,利用Krasonosel'skii's不动点定理得到它的正解存在性,推广了文献中的相关结论. Considering a class of second order impulsive functional differential equations with integral boundary condition,and using the Krasnosel'skii's fixed point theorem.suffcient condition for existence of positive solution is obtained,which extending the corresponding result in literatures.
作者 宫金燕
出处 《太原师范学院学报(自然科学版)》 2011年第4期23-25,107,共4页 Journal of Taiyuan Normal University:Natural Science Edition
关键词 脉冲泛函微分方程 积分边值 正解 存在性 impulsive functional differential equation integral boundary value positive solution existence
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参考文献5

  • 1Hao Xinan, Liu Lishan, Wu Yonghong. Positive solutions for second order impulsive differential equations with integral boundary conditions[J]. Commun Nonlinear Sci Numer Simulat, 2001,16: 101-111.
  • 2Liu B,Liu L,Wu Y. Positive solutions for a singular second-order three-point boundary value problem[J]. Appl Math Cornput, 2008,196 : 532-541.
  • 3Lin M,Jiang D. Multiple positive solutions of Diriehlet boundary value problems for second order impulsive differential equations[J]. Math Anal Appl,2006,321:501-514.
  • 4Feng M,Xie D. Multiple positive solutions of multi-point boundary value problem for second order impulsive differential equations[J]. Comput Appl,2009,223 : 438-448.
  • 5Hu L,Liu L,Wu Y. Positive solutions of nonlinear singular two-point boundary value problem for second-order impulsive differential equations[J]. Appl Math Comput, 2008,196 : 550-562.

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