Existence and uniqueness of positive solutions for three-point boundary value problem with fractional q-differences

被引：46

作者：

Liang, Sihua ^{[1
]}

Zhang, Jihui ^{[2
]}

机构：

[1] College of Mathematics, Changchun Normal University, Changchun 130032, Jilin

[2] Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing

来源：

Journal of Applied Mathematics and Computing | 2012年 / 40卷 / 1-2期

关键词：

Fixed-point theorem; Fractional q-difference equations; Partially ordered sets; Positive solution;

D O I：

10.1007/s12190-012-0551-2

中图分类号：

学科分类号：

摘要：

In this paper, we consider the following nonlinear q-fractional three-point boundary value problem (Dαqu)(t) + f(t,u(t))=0,0 < t < 1, 2 < α < 3, u(0) = (Dqu)(0) = 0, (D qu)(1) = β(Dqu)(η), where 0<βη α-2<1. By using a fixed-point theorem in partially ordered sets, we obtain sufficient conditions for the existence and uniqueness of positive and nondecreasing solutions to the above boundary value problem. © 2012 Korean Society for Computational and Applied Mathematics.

引用

页码：277 / 288

页数：11

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