贾梅,刘锡平.一类二阶脉冲微分方程三点边值问题三个非负解的存在性[J].数学研究及应用,2008,28(3):567~574
一类二阶脉冲微分方程三点边值问题三个非负解的存在性
Three Nonnegative Solutions of Three-Point Boundary Value Problem for Second-Order Impulsive Differential Equations
投稿时间:2006-08-28  修订日期:2007-11-22
DOI:10.3770/j.issn:1000-341X.2008.03.015
中文关键词:  脉冲  三点边值问题  Leggett-Williams不动点定理  非负解.
英文关键词:impulsive  three-point boundary value problem  Leggett-Williams's fixed point theorem  nonnegative solutions.
基金项目:上海市教育委员会自然科学基金(No.05EZ52).
作者单位
贾梅 上海理工大学理学院, 上海 200093 
刘锡平 上海理工大学理学院, 上海 200093 
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中文摘要:
      研究一类二阶脉冲微分方程三点边值问题三个非负解的存在性,利用Leggett-Williams不动点定理得到了方程三个非负解存在的充分条件.
英文摘要:
      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.
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