| 一类分数阶微分方程正解的存在性 |
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| 引用本文： | 刘洪洁,赵俊芳,耿凤杰,廉海荣.一类分数阶微分方程正解的存在性[J].数学的实践与认识,2012,42(2):241-248. |
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| 作者姓名： | 刘洪洁 赵俊芳 耿凤杰 廉海荣 |
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| 作者单位： | 中国地质大学信息工程学院,北京,100083 |
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| 基金项目： | 中央高校基本业务经费资助 |
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| 摘 要： | 研究了非线性项可变号的分数阶微分方程两点边值问题其中f:0,1]×0,∞)→（→∞,∞）是连续的,λ>0,q（t）>02通过构造适当算子,继而运用锥上的不动点定理,得到了该问题至少一个正解的存在性.
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| 关 键 词： | 分数阶微分方程 非线性项可变号 两点 正解 边值问题 |
Positive Solutions for Fractional Boundary Value Problem With Sign-Changing Nonlinerity |
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| LIU Hong-jie
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ZHAO Jun-fang
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GENG Feng-jie
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LIAN Hai-rong.Positive Solutions for Fractional Boundary Value Problem With Sign-Changing Nonlinerity[J].Mathematics in Practice and Theory,2012,42(2):241-248. |
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| Authors: | LIU Hong-jie ZHAO Jun-fang GENG Feng-jie LIAN Hai-rong |
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| Institution: | (School of Information Engineering,China University of Geosciences,Beijing 100083,China) |
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| Abstract: | In this paper,we are concerned with a kind of two-point boundary value problem with sign-changing nonlinerity, where f:0,1]x0,∞)→(-∞,∞) is continuous,λ> 0,q(t) > 0.By using a fixed point theorem in a cone,we obtain the existence of at least one positive solution. |
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| Keywords: | Fractional differential equation sign-changing nonlinerity two-point positive solutions Boundary value problem |
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