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Three Nonnegative Solutions of Three-Point Boundary Value Problem for Second-Order Impulsive Differential Equations 被引量：6

Three Nonnegative Solutions of Three-Point Boundary Value Problem for Second-Order Impulsive Differential Equations
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摘要 The paper studies the existence of three nonnegative solutions to a type of three- point boundary value problem for second-order impulsive differential equations,and obtains the sufficient conditions for existence of three nonnegative solutions by means of the Leggett- Williams's fixed point theorem. The paper studies the existence of three nonnegative solutions to a type of three- point boundary value problem for second-order impulsive differential equations, and obtains the sufficient conditions for existence of three nonnegative solutions by means of the Leggett-Williams＇s fixed point theorem.
作者 JIA Mei LIU Xi Ping
机构地区 College of Science
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2008年第3期567-574,共8页 数学研究与评论（英文版）
基金 the Foundation of Educational Department of Shanghai City(No.05EZ52)
关键词 微分方程 计算方法 边值问题 数学分析 impulsive three-point boundary value problem Leggett-Williams＇s fixed point theorem nonnegative solutions.
分类号 O175.8 [理学—基础数学]
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参考文献8

  • 1FU Xilin, YAN Baoqiang, LIU Yansheng. Introdution of Impulsive Differential Equations System [M]. Beijing: Science Press, 2005 .
  • 2GUO Dajun, LIU Xinzhi. Multiple positive solutions of boundary-value problems for impulsive differential equations [J]. Nonlinear Anal., 1995, 25(4): 327-337.
  • 3AGARWAL R P, O'REGAN D. A multiplicity result for second order impulsive differential equations via the Leggett Williams fixed polnt theorem [J]. Appl. Math. Comput., 2005, 161(2): 433-439.
  • 4HE Zhimin, GE Weigao. Monotone iterative technique and periodic boundary value problem for first-order impulsive functional differential equations [J]. Acta Math. Sinica (Chin. Ser.), 2005, 48(1): 171-176.
  • 5ZHANG Fengqin, MA Zhi'en, LI Meili. Non-homogeneous boundary value problems for first-order impulsive differential equations [J]. Gongeheng Shuxue Xuebao, 2005, 22(1): 40-46.
  • 6QI Shishuo, WANG Jianguo. Three-point boundary value problems for impulsive integro-differential equations in Banach spaces [J]. Acta Math. Sinica (Chin. Ser.), 2003, 46(6): 1189-1198.
  • 7GUO Dajun, SUN Jingxian, LIU Zhaoli. Functional Method for Nonlinear Ordinary Differential Equation [M]. Ji'nan: Shandong Science and Technology Press, 1995.
  • 8LEGGETT R W, WILLIAMS L R. Multiple positive fixed points of nonlinear operators on ordered Banach spaces [J]. Indiana Univ. Math. J., 1979, 28(4): 673-688.

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Journal of Mathematical Research and Exposition
2008年 第3期

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