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一类二阶微分方程两点边值问题的正解存在性 被引量：8

The Existence of Positive Solutions for Second-Order Two-Point Boundary Value Problem
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摘要 利用Leggett-Williams不动点定理,研究一类二阶微分方程两点边值问题的正解存在性,获得此方程的边值问题存在3个正解的新结果.结果表明,其存在性的充分条件简单,且易于验证. By using Leggett-Williams fixed point theorem,the authors studied the existence of positive solutions for a kind of second-order two-point boundary value problem.A new result of three positive solutions for the boundary value problem is obtained.
作者 曹君艳 王全义
机构地区 华侨大学数学科学学院
出处 《华侨大学学报（自然科学版）》 CAS 北大核心 2010年第1期113-117,共5页 Journal of Huaqiao University(Natural Science)
基金 福建省自然科学基金资助项目(Z0511026)
关键词 LEGGETT-WILLIAMS不动点定理 两点边值问题 正解 存在性 Leggett-Williams fixed point theorem two-point boundary value problem positive solution existence
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献9

  • 1李永祥.二阶非线性常微分方程的正周期解[J].数学学报（中文版）,2002,45(3):481-488. 被引量：45
  • 2姚庆六.一类二阶三点非线性边值问题的正解存在性与多解性[J].数学学报（中文版）,2002,45(6):1057-1064. 被引量：52
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  • 9王全义.具状态依赖时滞的泛函微分方程周期解[J].华侨大学学报（自然科学版）,2007,28(2):212-215. 被引量：2

二级参考文献24

  • 1韩飞,王全义.具状态依赖时滞微分方程的周期正解[J].华侨大学学报（自然科学版）,2005,26(4):357-360. 被引量：9
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共引文献96

同被引文献66

引证文献8

二级引证文献13

华侨大学学报（自然科学版）
2010年 第1期

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