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二阶脉冲微分方程三点边值问题正解的存在性
引用本文:陈祥平,赵增勤.二阶脉冲微分方程三点边值问题正解的存在性[J].数学的实践与认识,2011,41(11).
作者姓名:陈祥平  赵增勤
作者单位:1. 济宁学院数学系,山东曲阜,273155
2. 曲阜师范大学数学科学学院,山东曲阜,273165
基金项目:山东省高校科技计划项目,山东省自然科学基金
摘    要:利用混合单调算子的不动点定理讨论了一类二阶奇异脉冲微分方程三点边值问题,得到了正解存在的一个充分条件.

关 键 词:奇异边值问题  正解  混合单调算子  不动点  脉冲

Existence of Positive Solution for Second-Order Three-Point Boundary Value Problems to Impulsive Differential Equations
CHEN Xiang-ping,ZHAO Zeng-qin.Existence of Positive Solution for Second-Order Three-Point Boundary Value Problems to Impulsive Differential Equations[J].Mathematics in Practice and Theory,2011,41(11).
Authors:CHEN Xiang-ping  ZHAO Zeng-qin
Institution:CHEN Xiang-ping~1,ZHAO Zeng-qin~2 (1.Department of Mathematics Sciences,Jining University,Qufu 273155,China) (2.Department of Mathematics Sciences,Qufu Normal University,Qufu 273165,China)
Abstract:This paper investigates a class of second-order three-point singular boundary value problems for impulsive differential equations,a sufficient condition for the existence of positive solution is given by using mixed monotone method.
Keywords:three-point boundary value problems  positive solution  mixed monotone operator  fixed point  impulse  
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