| 四阶微分方程三点边值问题三个正解的存在性 |
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| 引用本文： | 刘晓亚,陈芳启.四阶微分方程三点边值问题三个正解的存在性[J].应用泛函分析学报,2014,16(3):261-266. |
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| 作者姓名： | 刘晓亚 陈芳启 |
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| 作者单位： | 南京航空航天大学理学院数学系,南京,211106 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金 |
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| 摘 要： | 在四阶微分方程非线性项f中含有未知函数“的二阶导数u”的情况下，运用Avery-Peterson不动点定理，研究了一类四阶微分方程三点边值问题三个正解的存在性，得到了该类边值问题存在三个正解的充分条件．
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| 关 键 词： | 边值问题 正解 锥 Avery-Peterson不动点定理 |
The Existence of Triple Positive Solutions of Nonlinear Forth-Order Three-Point Boundary Value Problems |
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| LIU Xiaoya,CHEN Fangqi.The Existence of Triple Positive Solutions of Nonlinear Forth-Order Three-Point Boundary Value Problems[J].Acta Analysis Functionalis Applicata,2014,16(3):261-266. |
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| Authors: | LIU Xiaoya CHEN Fangqi |
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| Institution: | (Department of Mathematics, College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China) |
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| Abstract: | By using Avery-Peterson fixed-point theorem, the existence of multiple positive solu- tions for a class of forth-order three-point boundary value problems is studied, and 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 Avery-Peterson fixed-point theorem |
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