Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces

被引：17
作者：
Hao, Xinan [1 ]
Liu, Lishan [1 ,2 ]
Wu, Yonghong [2 ]
Xu, Naiwei [3 ]
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
[3] Coll Polytech Shandong Water, Rizhao 276826, Shandong, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Positive solution; Singular nth-order BVP; Nonlocal conditions; Fixed point index for strict set contraction; Measure of noncompactness; Cone; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE; NONEXISTENCE;
D O I：
10.1016/j.camwa.2011.02.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a class of singular nth-order nonlocal boundary value problems in Banach spaces. The existence of multiple positive solutions for the problem is obtained by using the fixed point index theory of strict set contraction operators. To demonstrate the applications of our results, two examples are also given in the paper. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1880 / 1890
页数：11
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