| 一类分数阶差分方程正解的存在性 |
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| 引用本文： | 祝相宇,孙明哲.一类分数阶差分方程正解的存在性[J].延边大学理工学报,2014(1):25-30. |
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| 作者姓名： | 祝相宇 孙明哲 |
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| 作者单位： | 延边大学理学院数学系,吉林延吉133002 |
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| 基金项目： | 延边大学科研基金资助项目（601010027） |
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| 摘 要： | 研究了一类有限非线性分数阶差分方程边值问题正解的存在性.首先利用分数阶差分方程及其边值条件给出了Green函数,并分析了其性质;然后利用Krasnosel’skii不动点定理,建立了这类分数阶差分方程边值问题正解的存在性定理.
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| 关 键 词： | 分数阶差分方程 边值问题 Green函数 解的存在性 |
Existence of positive solution for a class of fractional difference equations |
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| ZHU Xiangyu,SUN Mingzhe.Existence of positive solution for a class of fractional difference equations[J].Journal of Yanbian University (Natural Science),2014(1):25-30. |
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| Authors: | ZHU Xiangyu SUN Mingzhe |
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| Affiliation: | ( Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China ) |
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| Abstract: | We studied the existence of positive solutions of the boundary value problem for a nonlinear finite fractional difference equation .First ,according to fractional difference equation and its boundary conditions ,we constructed the Green’s function and analyzed its properties .Then ,by using the Krasnosel’skii fixed point theorem we obtained sufficient conditions for the existence of positive solutions of the boundary value problem for the nonlinear finite difference equation . |
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| Keywords: | fractional-order difference equations boundary value problem Green’ s function existence of solutions |
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