| 一类分数阶微分方程边值问题的三个正解 |
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| 引用本文： | 高芳,江卫华.一类分数阶微分方程边值问题的三个正解[J].数学的实践与认识,2014(1). |
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| 作者姓名： | 高芳 江卫华 |
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| 作者单位： | 衡水学院分院;河北科技大学理学院; |
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| 基金项目： | 河北省自然科学基金(A2013208108) |
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| 摘 要： | 利用锥上Avery-Peterson不动点定理,研究了一类分数阶微分方程积分边值问题正解的存在性,给出了该边值问题至少存在三个正解的充分条件.
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| 关 键 词： | 分数阶微分方程 Avery-Peterson不动点定理 格林函数 正解 |
Three Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Equation |
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| Abstract: | By means of the Avery-Peterson fixed point theorem on a cone,we discuss the existence of positive solutions for integral boundary value problems of fractional differential equation The sufficient condition for the existence of at least three positive solutions for this boundary value problems is obtained. |
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| Keywords: | fractional differential equation Avery-peterson fixed point theorem green's function positive solutions |
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