Positive solutions for a class of fractional boundary value problem with changing sign nonlinearity

被引：86

作者：

Wang, Yongqing ^{[1
]}

Liu, Lishan ^{[1
,2
]}

Wu, Yonghong ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 17期

基金：

中国国家自然科学基金;

关键词：

Fractional differential equation; Positive solution; Green function; Semipositone; Boundary value problem; DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.na.2011.06.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the existence of positive solutions to the following fractional boundary value problem with changing sign nonlinearity. {D(0+)(alpha)u(t) + lambda f(t, u(t)) = 0, 0 < t < 1, u(0) = u'(0) = u(1) = 0, where 2 < alpha <= 3 is a real number, D(0+)(alpha) is the standard Riemann-Liouville derivative, lambda is a positive parameter, f may change sign and may be singular at t = 0, 1. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：6434 / 6441

页数：8

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