| 分数阶微分方程多点边值问题的正解 |
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| 引用本文： | 钟文勇.分数阶微分方程多点边值问题的正解[J].吉首大学学报(自然科学版),2010,31(1):9-12. |
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| 作者姓名： | 钟文勇 |
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| 作者单位： | (吉首大学数学与计算机科学学院,湖南 吉首 416000) |
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| 基金项目： | 湖南省自然科学基金资助项目(09JJ6010) |
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| 摘 要： | 研究分数阶微分方程多点边值问题正解的存在性,利用动点定理,得到了边值问题至少存在1个正解和3个正解的充分条件.
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| 关 键 词： | 分数阶微分方程 多点边值问题 正解 不动点 |
Positive Solutions for Multiple-Point Boundary Value Problem of Fractional Differential Equations |
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| ZHONG Wen-yong.Positive Solutions for Multiple-Point Boundary Value Problem of Fractional Differential Equations[J].Journal of Jishou University(Natural Science Edition),2010,31(1):9-12. |
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| Authors: | ZHONG Wen-yong |
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| Institution: | (College of Mathematics and Computer Sciences,Jishou University,Jishou 416000,Hunan China) |
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| Abstract: | This paper deals with the existence of positive solutions for multiple-point boundary value problem of fractional differential equations.In light of fixed-point theorems,some sufficient conditions are obtained to guarantee the existence of at least one or three positive solutions of the boundary value problems. |
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| Keywords: | fractional differential equations multi-point boundary value problem positive solutions fixed-point theorem |
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