| 一类分数阶微分方程边值问题多个正解的存在性 |
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| 引用本文： | 周玲,周宗福. 一类分数阶微分方程边值问题多个正解的存在性[J]. 合肥学院学报(自然科学版), 2012, 22(2): 5-8 |
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| 作者姓名： | 周玲 周宗福 |
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| 作者单位： | 安徽大学数学科学学院,合肥,230601 |
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| 基金项目： | 国家自然科学基金项目，安徽省教育厅重点项目，安徽省自然科学基金项目 |
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| 摘 要： | 用锥压拉不动点定理和Leggett-Williams不动点定理,以及一些分析的技巧研究了一类分数阶微分方程边值问题正解的存在性,得到了这类边值问题其正解存在的充分条件,从而推广了该类方程解的性态.
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| 关 键 词： | 正解 分数阶 边值问题 |
Problem of Positive Solutions for Boundary Value Nonlinear Fractional Differential Equations |
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| ZHOU Ling,ZHOU Zong-fu. Problem of Positive Solutions for Boundary Value Nonlinear Fractional Differential Equations[J]. Journal of Hefei University(Natural Sciences Edition), 2012, 22(2): 5-8 |
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| Authors: | ZHOU Ling ZHOU Zong-fu |
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| Affiliation: | (School of Mathematical Sciences,Anhui University,Hefei 230601,China) |
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| Abstract: | By using Krasnoselkiis fixed-point theory,Leggett-Williams fixed-point theory and the analytical skill,this paper studies the existence of positive solutions for boundary value problem of nonlinear fractional differential equations.We obtain some sufficient conditions of existence of positive solutions for this class of systems. |
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| Keywords: | positive solutions fractional order boundary value problem |
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