四川大学学报（自然科学版）Issue(6)：1199-1204,6.DOI:10.3969/j.issn.0490-6756.2013.06.009
分数阶混合差分方程边值问题解的存在性
The existence of solutions for the boundary value problem of fractional hybrid difference equation
摘要
Abstract
We study the existence of solutions for the boundary value problem of fractional hybrid differ-ence equation Δν x(t)f (t ,x(t)) = g(t + ν- 1 ,x(t + ν- 1)) ,x(ν- 2) = x(ν+ b) = 0 ,w here g ∈C([ν-1 ,ν+ b -1]Nν-1 × R ,R) ,f ∈ C([ν-2 ,ν+ b]Nν-2 × R ,R\{0}) and 1 < ν≤ 2 .We give a represen-tation for the solution to this problem .By using the Brouwer theorem and the upper and lower solutions method ,two existence theorems to this problem are proved .关键词
分数阶差分方程/边值问题/解的存在性Key words
fractional difference equation/boundary value problem/existence of solution分类
数理科学引用本文复制引用
黄娟娟,韩晓玲,高承华..分数阶混合差分方程边值问题解的存在性[J].四川大学学报（自然科学版）,2013,(6):1199-1204,6.基金项目
国家自然科学基金 （）
