Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems

被引：79
|
作者：
Zhai, Chengbo [1 ]
Hao, Mengru [1 ]
机构：
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 04期
关键词：
Fixed point; Mixed monotone operator; Normal cone; Positive solution; Fractional differential equation; Riemann-Liouville derivative; POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS;
D O I：
10.1016/j.na.2011.10.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to present some new fixed point theorems for mixed monotone operators with perturbation by using the properties of cones and a fixed point theorem for mixed monotone operators. As applications, we utilize the results obtained in this paper to study the existence and uniqueness of positive solutions for nonlinear fractional differential equation boundary value problems. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：2542 / 2551
页数：10
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