Positive solutions for nonlinear fractional differential equations with coefficient that changes sign

被引：63

作者：

Bai, CZ ^{[1
]}

机构：

[1] Huaiyin Teachers Coll, Dept Math, Huaian 223001, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 04期

关键词：

Riemann-Liouville fractional derivatives and integrals; positive solutions; cone; nonlinear alternative of Leray-Schauder type;

D O I：

10.1016/j.na.2005.04.047

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 in case of the nonlinear fractional differential equation D-S u = lambda a (t) f(u), 0 < t < 1, where 0 < s < 1, D-S is the standard Riemann-Liouville fractional derivative, f : [0, infinity) -> [0, infinity), f (0) > 0, a : [0, 1] -> (-infinity, +infinity) may change sign, and lambda > 0 is a parameter. Our analysis relies on a nonlinear alternative of Leray-Schauder type. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：677 / 685

页数：9

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