| 一类偶数阶Sturm-Liouvile四点边值问题多个正解的存在性 |
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| 引用本文： | 沈志默,肖建中,曹银芳.一类偶数阶Sturm-Liouvile四点边值问题多个正解的存在性[J].南京气象学院学报,2012,4(1):92-96. |
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| 作者姓名： | 沈志默 肖建中 曹银芳 |
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| 作者单位： | 南京信息工程大学数学与统计学院, 南京, 210044;南京信息工程大学数学与统计学院, 南京, 210044;南京信息工程大学数学与统计学院, 南京, 210044 |
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| 基金项目： | 国家自然科学基金(11026213) |
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| 摘 要： | 讨论了一类偶数阶四点边值问题正解的存在性,借助Leggett-Williams不动点定理和不等式技巧,得到了该边值问题至少存在三个和任意奇数个正解的充分条件.
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| 关 键 词： | 正解 锥 不动点定理 边值问题 |
| 收稿时间： | 2011/5/17 0:00:00 |
The existence of multiple positive solutions for an even order Sturm-Liouville boundary value problem |
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| SHEN Zhimo,XIAO Jianzhong and CAO Yinfang.The existence of multiple positive solutions for an even order Sturm-Liouville boundary value problem[J].Journal of Nanjing Institute of Meteorology,2012,4(1):92-96. |
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| Authors: | SHEN Zhimo XIAO Jianzhong and CAO Yinfang |
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| Institution: | College of Math & Statistics, Nanjing University of Information Science & Technology, Nanjing 210044;College of Math & Statistics, Nanjing University of Information Science & Technology, Nanjing 210044;College of Math & Statistics, Nanjing University of Information Science & Technology, Nanjing 210044 |
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| Abstract: | In this paper,we discuss the existence of positive solutions for an even order four point boundary value problems.Sufficient conditions are obtained for the existence of three or arbitrary odd positive solutions of the boundary value problem by using Leggett-Williams fixed point theorem and inequality techniques. |
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| Keywords: | positive solution cone fixed point theorem boundary value problem |
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