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关于非线性特征值多点边值问题的四个正解的存在性

The Existence of Four Positive Solutions for Multipcity Points Nonlinear Eigenvalue Problems
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摘要 利用锥上的不动点定理,考察了一类非线性特征值问题u″(t)+λf(t,u(t))=0,0≤t≤1,u(0)=0,αu(η)=u(1)的多个正解的存在性,给出了四个正解存在的充分条件,这里0<η<1,α>0. We study existence of four positive solutions of nonlinear eigenvalue problems u″（t）＋λf（t,u（t））=0,0≤t≤1, u（0）=0,au（η）=u（1）The existence theorem is obtained by using fixed point theorem in cones. Here 0〈η〈1,a〉0.
作者 任立顺 张同斌
机构地区 周口师范学院数学与信息科学系 河南工业大学理学院
出处 《大学数学》 2009年第2期35-38,共4页 College Mathematics
基金 国家自然科学基金资助项目(10271095) 河南省基础与前沿技术研究项目(07230041009) 河南省教育厅自然科学基金资助项目(2006110019)
关键词 非线性特征值 三点边值问题 锥 正解 存在性 nonlinear eigenvalue problem three point boundary value problem cone positive solutive existence
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献10

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二级参考文献11

  • 1Il'in V A, Moiseev E I. Nonlocal boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects [J ]. Differential Equations, 1987, 23(7): 803-810.
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  • 10姚庆六,王景荣.方程△u+ g(+|X|)f(u)=0的环上 Dirichlet边值问题的多重正对径解[J].系统科学与数学,2000,20(4):487-492. 被引量：13

共引文献53

大学数学
2009年 第2期

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