Existence and uniqueness of solutions for a first-order discrete fractional boundary value problem

被引：0
|
作者：
Jiafa Xu
Donal O’Regan
机构：
[1] Chongqing Normal University,School of Mathematical Sciences
[2] National University of Ireland,School of Mathematics, Statistics and Applied Mathematics
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2018年 / 112卷
关键词：
Discrete fractional boundary value problems; Nontrivial (positive) solutions; Topological degree; Monotone iterative technique; 34B10; 34B18; 34A34; 45G15; 45M20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we use topological degree to establish the existence of nontrivial solutions for a first-order discrete fractional boundary value problem with a sign-changing nonlinearity. Also using the monotone iterative technique we discuss problems with a nonnegative nonlinearity and establish the uniqueness of positive solutions.
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页码：1005 / 1016
页数：11
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