Positive solutions for a class of boundary value problems with fractional q-differences

被引：154
作者：
Ferreira, Rui A. C. [1 ]
机构：
[1] Lusophone Univ Humanities & Technol, Dept Math, P-1749024 Lisbon, Portugal
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 02期
关键词：
Fractional q-difference equations; Boundary value problems; Positive solution; INTEGRALS;
D O I：
10.1016/j.camwa.2010.11.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence of positive solutions to the nonlinear q-fractional boundary value problem (D(q)(alpha)y)(x) = -f (x, y(x)), 0 <x < 1, y(0) = (D(q)y)(0) = 0, (D(q)y)(1) = beta >= 0, by applying a fixed point theorem in cones. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：367 / 373
页数：7
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