| 4阶微分方程3点边值问题3个正解的存在性 |
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| 引用本文： | 曹银芳,肖建中,沈志默.4阶微分方程3点边值问题3个正解的存在性[J].吉首大学学报(自然科学版),2011,32(5):26-31. |
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| 作者姓名： | 曹银芳 肖建中 沈志默 |
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| 作者单位： | （南京信息工程大学数理学院，江苏 南京 210044） |
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| 基金项目： | 江苏省高校自然科学基金资助项目(10KJB110006) |
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| 摘 要： | 讨论了一类4阶微分方程3点边值问题3个正解的存在性,其方程的非线性项f中含有未知函数u的2阶导数u″.通过运用锥上的Avery-Peterson不动点定理,得到该类边值问题3个正解存在性的充分条件.
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| 关 键 词： | 边值问题 正解 锥 不动点定理 |
Existence of Triple Positive Solutions for Three-Point Boundary Value Problems of Fourth-Order Differential Equations |
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| CAO Yin-fang,XIAO Jian-zhong,SHEN Zhi-mo.Existence of Triple Positive Solutions for Three-Point Boundary Value Problems of Fourth-Order Differential Equations[J].Journal of Jishou University(Natural Science Edition),2011,32(5):26-31. |
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| Authors: | CAO Yin-fang XIAO Jian-zhong SHEN Zhi-mo |
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| Institution: | （College of Math and Physics,Nanjing University of Information Science and Technology,Nanjing 210044） |
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| Abstract: | The existence of triple positive solutions for a class of fourth-order differential equations is studied, whose nonlinear term f contains the second-order derivative u＂ of the unknown function u. By using the Avery-Peterson fixed point theorem,some sufficient conditions are obtained for the existence of triple positive solutions of the boundary value problems. |
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| Keywords: | boundary value problem positive solutions cone fixed-point theorem |
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