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一类二阶脉冲微分方程三点边值问题的多重正解
引用本文:孙树杰,张玲玲. 一类二阶脉冲微分方程三点边值问题的多重正解[J]. 太原重型机械学院学报, 2009, 0(1): 63-65
作者姓名:孙树杰  张玲玲
作者单位:太原理工大学数学系,太原030024
基金项目:山西省自然科学基金项目(2007011012)
摘    要:利用锥上Krasnoselskii不动点定理,考察了一类二阶脉冲微分方程三点边值问题的多重正解的存在性,得到了该问题至少存在两个正解的充分条件。

关 键 词:三点边值问题  正解  不动点定理

Multiple Positive Solutions of a Class of Nonlinear Three-point Boundary Value Problem for Second Order Impulsive Differential Equations
SUN Shu-jie,ZHANG Ling-ling. Multiple Positive Solutions of a Class of Nonlinear Three-point Boundary Value Problem for Second Order Impulsive Differential Equations[J]. Journal of Taiyuan Heavy Machinery Institute, 2009, 0(1): 63-65
Authors:SUN Shu-jie  ZHANG Ling-ling
Affiliation:( Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China)
Abstract:By using Krasnoselskii's fixed point theorem in a cone, we study the existence of multiple positive solutions for the second order three-point boundary value problem with impulse terms. The results show that there are at least two positive solutions under some certain conditions.
Keywords:three-point boundary value problem   positive solutions   fixed point theorem
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