Positive and negative solutions of a boundary value problem for a fractional q -difference equation

Advances in Difference Equations

Jing Ren¹  Chengbo Zhai¹ 

[1] School of Mathematical Sciences, Shanxi University, Taiyuan, P.R. China

关键词: fractional q-difference equation;    positive and negative solutions;    iterative method;    lower and upper solutions;    34B18;    33D05;    39A13;   

DOI  :  10.1186/s13662-017-1138-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this work, we study a boundary value problem for a fractional q-difference equation. By using the monotone iterative technique and lower-upper solution method, we get the existence of positive or negative solutions under the nonlinear term is local continuity and local monotonicity. The results show that we can construct two iterative sequences for approximating the solutions.

【 授权许可】

CC BY