摘要
考虑一类高阶分数阶差分方程边值问题.构造相关的格林函数,利用不等式技巧,分析格林函数的特征性质.运用不动点指数理论,获得了该分数阶差分方程边值问题存在多重正解的充分条件,举例说明了所获理论的有效性.
By constructing the corresponding Green's function and analysing the key properties with inequality technique,a high order fractional difference equation with boundary value conditions is studied in this paper.The existence of multiple positive solutions is obtained by using the fixed point index theory.Additionally,two examples are illustrated to guarantee the main results.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
2016年第2期167-175,共9页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(11471278)
湖南省自然科学基金(2016JJ6139)
关键词
多重正解
边值问题
分数阶差分方程
存在性
multiple positive solution
boundary value problem
fractional difference equation
existence