Third order boundary value problems with nonlocal boundary conditions

被引：101

作者：

Graef, John R. ^{[1
]}

Webb, J. R. L. ^{[2
]}

机构：

[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[2] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 5-6期

关键词：

Boundary value problems; Hammerstein integral operator; Nonlocal boundary conditions; Third order problems; MULTIPLE POSITIVE SOLUTIONS; SEMILINEAR DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.na.2008.12.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We treat the existence of multiple positive solutions for a third order boundary value problem with nonlocal boundary conditions. In our work, each of the three boundary conditions is a linear functional on C[0, 1], that is, given by a Stieltjes integral, but is not necessarily a positive functional. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1542 / 1551

页数：10

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