| 一类偶数阶Sturm-Liouvile四点边值问题多个正解的存在性 |
| 投稿时间：2011-05-17 点此下载全文 |
| 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].南京信息工程大学学报,2012,4(1):92~96 |
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| 基金项目:国家自然科学基金(11026213) |
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| 中文摘要: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. |
| 中文关键词:正解 锥 不动点定理 边值问题 |
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| The existence of multiple positive solutions for an even order Sturm-Liouville boundary value problem |
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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. |
| keywords:positive solution cone fixed point theorem boundary value problem |
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