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（英文）  

Existence and nonexistence of positive solutions for a Caputo fractional difference equation depending on parameters

作　　者：陈慧琴[1] 康淑瑰[1] 崔亚琼[1] 李录苹[1] Chen Huiqin;Kang Shugui;Cui Yaqiong;Li Luping(School of Mathematics and Computer Sciences,Shanxi Datong University,Datong,Shanxi 037009,China)

机构地区：[1]山西大同大学数学与计算机科学学院,山西大同037009

出　　处：《上海师范大学学报（自然科学版）》2018年第3期356-363,共8页Journal of Shanghai Normal University(Natural Sciences)

基　　金：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)

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.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 Greenls function and Guo-Krasnosellskii fixed point theorem on cones.

关 键 词：Caputo分数阶差分方程 GREEN函数 正解 不动点定理 

分 类 号：O175.1[理学—数学] O175.8[理学—基础数学]