Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach spaces

被引：48

作者：

Zhang, Xuemei ^{[2
,3
]}

Feng, Meiqiang ^{[1
,3
]}

Ge, Weigao ^{[3
]}

机构：

[1] Beijing Informat Technol Inst, Dept Fundamental Sci, Beijing 100101, Peoples R China

[2] N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China

[3] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 10期

关键词：

Boundary-value problem; Positive solution; Fixed point index theory; Existence; Measure of noncompactness;

D O I：

10.1016/j.na.2007.09.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the multiplicity of positive solutions for a class of nonlinear boundary-value problems of fourth-order differential equations with integral boundary conditions in ordered Banach spaces. The arguments are based upon a specially constructed cone and the fixed point index theory in cone for strict set contraction operator. The nonexistence of positive solution is also studied. Meanwhile, in example is worked out to demonstrate the main results. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：3310 / 3321

页数：12

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