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

被引：0
作者：
Chengbo Zhai
Jing Ren
机构：
[1] Shanxi University,School of Mathematical Sciences
来源：
Advances in Difference Equations | / 2017卷
关键词：
fractional ; -difference equation; positive and negative solutions; iterative method; lower and upper solutions; 34B18; 33D05; 39A13;
D O I：
暂无
中图分类号：
学科分类号：
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.
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