| 一类分数阶差分方程边值问题递增正解的存在性 |
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| 引用本文： | 葛琦,侯成敏.一类分数阶差分方程边值问题递增正解的存在性[J].吉林大学学报(理学版),2013,51(1):47-52. |
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| 作者姓名： | 葛琦 侯成敏 |
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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： | 国家自然科学基金(批准号:11161049);延边大学科研项目(批准号:延大科合字[2010]第004号) |
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| 摘 要： | 在度量空间中利用不动点定理, 研究一类带有分数阶边界条件的分数阶差分方程递增正解的存在性. 借助Green函数的性质, 分别建立了该方程存在唯一递增非负解的充分条件及存在唯一严格递增正解的充分条件.
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| 关 键 词： | 分数阶边界条件 Green函数 严格递增 |
| 收稿时间： | 2012-06-07 |
Existence of Positive and Nondecreasing Solution of Boundary Value Problems for a Class of Fractional Difference Equations |
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| GE Qi,HOU Cheng-min.Existence of Positive and Nondecreasing Solution of Boundary Value Problems for a Class of Fractional Difference Equations[J].Journal of Jilin University: Sci Ed,2013,51(1):47-52. |
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| Authors: | GE Qi HOU Cheng-min |
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| Institution: | Department of Mathematics, College of Science, Yanbian University, Yanji 133002, Jilin Province, China |
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| Abstract: | Using fixed point theorem in metric space, the authors studied the existence of positive and nondecreasing solution for a class of the fractional difference equations with fractional boundary conditions. With the aid of some characteristics of the Green’s function, we obtained sufficient conditions for the existence of a unique nonnegative and nondecreasing solution to this class of equations. And we discussed the existence and uniqueness of a positive and strictly increasing solution to this equations. |
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| Keywords: | fractional boundary conditions Green’s function strictly increasing |
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