一类分数阶差分方程组边值问题的正解  

Positive solutions for a class system of fractional difference equations boundary value problems

作　　者：徐家发 罗洪林 张政 XU Jiafa;LUO Honglin;ZHANG Zheng(School of Mathematical Sciences,Chongqing Normal University,401331,Chongqing,China)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《北京师范大学学报（自然科学版）》2022年第2期179-185,共7页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11871302);中国博士后基金资助项目(2019M652348);重庆市自然科学基金资助项目(cstc2020jcyj-msxmX0123)。

摘　　要：运用不动点指数理论研究一类分数阶差分方程组边值问题正解的存在性:1)将该问题转化为等价的和分方程,构造对应的算子方程;2)在非线性项合适的条件下获得算子正不动点的存在性,从而获得原问题的正解.The existence of positive solutions for a class system of fractional difference equations boundary value problems is studied by means of the theory of fixed point index.First,the problem is translated into its equivalent sum equation,and corresponding operator is established.Then the existence of positive fixed points is obtained under appropriate conditions from nonlinearities,positive solutions of the original problem are obtained.

关 键 词：分数阶差分方程组 边值问题 不动点指数 正解 

分 类 号：O125.7[理学—数学]