Third order boundary value problems with nonlocal boundary conditions

被引：97
|
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.
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页码：1542 / 1551
页数：10
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