| 一类分数阶微分方程三点边值问题的多重正解 |
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| 引用本文： | 胡卫敏,伊磊,陈维.一类分数阶微分方程三点边值问题的多重正解[J].东北师大学报(自然科学版),2011,43(2):16-22. |
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| 作者姓名： | 胡卫敏 伊磊 陈维 |
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| 作者单位： | 伊犁师范学院数学系; |
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| 基金项目： | 国家自然科学基金资助项目(10971021); 新疆高校科研计划重点项目(XJEDU2008I35) |
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| 摘 要： | 主要研究了一类Riemann-Liouville分数阶微分方程三点边值问题多重正解的存在性,通过格林函数的正性和上下解方法建立了边值问题{Da0+y(t)+f(t,y(t))=0,0＜t＜1;y(O)=0,y(1)=βy(η) 的单一正解的存在性,应用Leray-Schauder非线性抉择定理和Guo-Krasnose...
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| 关 键 词： | 分数阶微分方程 三点边值问题 正解 上下解方法 格林函数 |
Existence of multiple positive solution for fractional differential equation three-point boundary value problem |
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| HU Wei-min,YI Lei,CHEN Wei.Existence of multiple positive solution for fractional differential equation three-point boundary value problem[J].Journal of Northeast Normal University (Natural Science Edition),2011,43(2):16-22. |
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| Authors: | HU Wei-min YI Lei CHEN Wei |
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| Institution: | HU Wei-min,YI Lei,CHEN Wei(Department of Mathematics,Ili Normal University,Yining 835000,China) |
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| Abstract: | |
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| Keywords: | fractional differential equation three-point boundary value problem positive solution lower and upper solution method Green's function |
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