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具有变号非线性项的奇异二阶三点边值问题的三个非零正解
引用本文:李成,刘立山.具有变号非线性项的奇异二阶三点边值问题的三个非零正解[J].数学物理学报(A辑),2008,28(3):515-522.
作者姓名:李成  刘立山
作者单位:[1]曲阜师范大学数学科学学院,曲阜273165 [2]济宁学院数学系,曲阜273155
基金项目:国家自然科学基金 , 高等学校博士点专项基金 , 山东省自然科学基金
摘    要:该文研究一类具有变号非线性项的奇异二阶三点边值问题多个正解的存在性. 运用Leggett-Williams不动点定理在$f$满足一定的增长条件下, 获得了至少三个非零正解存在的结果.

关 键 词:三点边值问题  奇异  变号  三个正解
收稿时间:2005-11-14
修稿时间:2008-02-25

Three Nontrival Positive Solutions for Second Order Three PointBoundary Value Problems with Sign Changing Nonlinearities
Li Cheng,Liu Lishan.Three Nontrival Positive Solutions for Second Order Three PointBoundary Value Problems with Sign Changing Nonlinearities[J].Acta Mathematica Scientia,2008,28(3):515-522.
Authors:Li Cheng  Liu Lishan
Institution:School of Mathematical Sciences, Qufu Normal University, Qufu 273165;
Department of Mathematics, Jining College, Qufu 273155
Abstract:In this paper, the existence of multiple nontrival positive solutions for a class of singular second order three point boundary value problems with sign changing nonlinearities is investigated. Growth conditions are imposed on $f$, which yield the existence of at least three nontrival positive solutions by using the Leggett-Williams fixed point theorem.
Keywords:Three point boundary value problemzz  Singularzz  Change of signzz  Three nontrival positive solutionszz
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