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三点边值问题的正解

缪烨红 张吉慧

缪烨红, 张吉慧. 三点边值问题的正解[J]. 应用数学和力学, 2008, 29(6): 741-748.
引用本文: 缪烨红, 张吉慧. 三点边值问题的正解[J]. 应用数学和力学, 2008, 29(6): 741-748.
MIAO Ye-hong, ZHANG Ji-hui. Positive Solutions of Three-Point Boundary Value Problems[J]. Applied Mathematics and Mechanics, 2008, 29(6): 741-748.
Citation: MIAO Ye-hong, ZHANG Ji-hui. Positive Solutions of Three-Point Boundary Value Problems[J]. Applied Mathematics and Mechanics, 2008, 29(6): 741-748.

三点边值问题的正解

详细信息
    作者简介:

    缪烨红(1982- ),女,江苏靖江人,硕士(联系人.Tel:+86-512-53940678;E-mail:myh_82@126.com);张吉慧,教授(Tel:+86-25-86272816;E-mail:jihuiz@jlonline.com).

  • 中图分类号: O175.8

Positive Solutions of Three-Point Boundary Value Problems

  • 摘要: 利用Krasnoselskii's不动点定理和重合度定理,研究了p-Laplace三点边值问题单解或多解的存在性,以及在共振情况下解的存在性.
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    [2] Agarwal R P,Lü H S,O'Regan D.Eigenvalues and the one-dimensional p-Laplacian[J].J Math Anal Appl,2002,266(2):384-400.
    [3] Lü H S,O'Regan D,Zhong C K.Multiple positive solutions for the one-dimensional singular p-Laplacian}[J].Appl Math Compute,2002,133(2/3):407-422. doi: 10.1016/S0096-3003(01)00240-5
    [4] Wong F H.Existence of positive solutions for m-Laplacian boundary value problems[J].Appl Math Letters,1999,12(3):11-17
    [5] Feng W Y. On an m-point boundary value problem[J].Nonlinear Anal TMA,1997,30(8):5369-5374. doi: 10.1016/S0362-546X(97)00360-X
    [6] Ma R Y.Positive solutions of a nonlinear three-point boundary value problem[J].Electronic J Differential Equations,1999,1999(34):1-8.
    [7] Liu B.Positive solution of singular three-point boundary value problems for the one-dimensional p-Laplacian[J].Comput Math Appl,2004,48(5/6):913-925. doi: 10.1016/j.camwa.2003.08.011
    [8] Mawhin J.Topological Degree and Boundary Value Problems for Nonlinear Differential Equations[M].Lecture Notes in Mathematics.Vol 1537.New York/Berlin,1991.
    [9] Bai C Z,Fang J X.Existence of positive solutions for three-point boundary value problems at resonance[J].J Math Anal Appl,2004,291(2):538-549. doi: 10.1016/j.jmaa.2003.11.014
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出版历程
  • 收稿日期:  2007-08-15
  • 修回日期:  2008-04-25
  • 刊出日期:  2008-06-15

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