| 一类Caputo分数阶差分方程依赖于参数的正解存在和不存在性 |
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| 引用本文： | 陈慧琴,康淑瑰,崔亚琼,李录苹.一类Caputo分数阶差分方程依赖于参数的正解存在和不存在性[J].上海师范大学学报(自然科学版),2018,47(3):356-363. |
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| 作者姓名： | 陈慧琴 康淑瑰 崔亚琼 李录苹 |
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| 作者单位： | 山西大同大学 数学与计算机科学学院, 山西, 大同 037009,山西大同大学 数学与计算机科学学院, 山西, 大同 037009,山西大同大学 数学与计算机科学学院, 山西, 大同 037009,山西大同大学 数学与计算机科学学院, 山西, 大同 037009 |
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| 基金项目： | The National Natural Science Foundation of China (11271235); the Development Foundation of Higher Education Department of Shanxi Province (20111117, 20111020); Reseach Fund Project of Shanxi Datong University (2016K9, 2017K4) |
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| 摘 要： | 主要研究一类Caputo分数差分方程边值问题的正解存在性和不存在性.利用Green函数的性质和锥上Guo-Krasnosel不动点定理，得到了这个问题依赖于参数范围的正解的存在和不存在性条件.
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| 关 键 词： | Caputo分数阶差分方程 Green函数 正解 不动点定理 |
| 收稿时间： | 2018/3/23 0:00:00 |
Existence and nonexistence of positive solutions for a Caputo fractional difference equation depending on parameters |
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| Chen Huiqin,Kang Shugui,Cui Yaqiong and Li Luping.Existence and nonexistence of positive solutions for a Caputo fractional difference equation depending on parameters[J].Journal of Shanghai Normal University(Natural Sciences),2018,47(3):356-363. |
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| Authors: | Chen Huiqin Kang Shugui Cui Yaqiong and Li Luping |
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| Institution: | School of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, China,School of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, China,School of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, China and School of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, China |
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| Abstract: | In this paper, we investigate the existence and nonexistence of positive solutions for a class of Caputo fractional difference equation boundary value problem. We obtain the conditions of existence and nonexistence of positive solutions for this problem depending on the range of parameters by using the properties of Green''s function and Guo-Krasnosel''skii fixed point theorem on cones. |
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| Keywords: | Caputo fractional difference Green''s function positive solution fixed point theorem |
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