数学物理学报
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李成;刘立山
曲阜师范大学数学科学学院 曲阜 273165;
济宁学院数学系 曲阜 273155
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基金资助:
国家自然科学基金(10771117, 10471075)、高等学校博士点专项基金(20060446001)和山东省自然 科学基金(Y2007A23)资助
Li Cheng;Liu Lishan
School of Mathematical Sciences, Qufu Normal University, Qufu 273165;
Department of Mathematics, Jining College, Qufu 273155
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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
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.
Key words: Three point boundary value problem, Singular, Change of sign, Three nontrival positive solutions
中图分类号:
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, 2008, 28(3): 515-522.
Li Cheng;Liu Lishan. Three Nontrival Positive Solutions for Second Order Three PointBoundary Value Problems with Sign Changing Nonlinearities[J]. Acta mathematica scientia,Series A, 2008, 28(3): 515-522.
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http://121.43.60.238/sxwlxbA/CN/Y2008/V28/I3/515
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