Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces

被引：73

作者：

Feng, Meiqiang ^{[1
,2
]}

Ji, Dehong ^{[2
]}

Ge, Weigao ^{[2
]}

机构：

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

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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 222卷 / 02期

关键词：

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

D O I：

10.1016/j.cam.2007.11.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence and multiplicity of positive solutions for a class of nonlinear boundary-value problem of second-order differential equations with integral boundary conditions in ordered Banach spaces. The arguments are based upon a specially constructed cone and the fixed point theory in a cone for strict set contraction operators. The nonexistence of a positive solution is also studied. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：351 / 363

页数：13

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