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| 摘要: |
| 本文研究了(n -1, 1)-型分数阶共轭边值问题正解的存在性与多解性问题.利用Krasnoselskii-Zabreiko不动点定理,结合与Green函数相关的不等式,获得了几个存在性结果,推广了一些现有的结果. |
| 关键词: 分数阶边值问题 Green函数 正解 不动点定理 |
| DOI： |
| 分类号:O175.8 |
| 基金项目:Supported by the NNSF-China (11202084); NSFC-Tian Yuan Special Foundation (11226116); Natural Science Foundation of Jiangsu Province of China for Young Scholar (BK2012109); the China Scholarship Council (201208320435). |
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| POSITIVE SOLUTIONS FOR (n-1, 1)-TYPE FRACTIONAL CONJUGATE BOUNDARY VALUE PROBLEM |
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WANG Yong,YANG Yang
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| Abstract: |
| This paper studies the existence and multiplicity of positive solutions for (n-1, 1)-type fractional conjugate boundary value problem. By virtue of Krasnoselskii-Zabreiko fixed point theorem, several results are formulated in terms of some inequalities associated with Green's function. The results obtained here improve some existing results in the literature. |
| Key words: fractional boundary value problem Green function positive solution fixed point theorem |
