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.
引用
收藏
页码：1542 / 1551
页数：10
相关论文
共 29 条
  • [1] Multiple positive solutions for a three-point boundary value problem
    Anderson, D
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 1998, 27 (06) : 49 - 57
  • [2] CHU J, 2005, ELECT J DIFFERENTIAL, P9
  • [3] Multiple solutions to a three-point boundary value problem for higher-order ordinary differential equations
    Du, Zengji
    Liu, Wenbin
    Lin, Xiaojie
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 335 (02) : 1207 - 1218
  • [4] Nonlocal boundary value problem of higher order ordinary differential equations at resonance
    Du, Zengji
    Lin, Xiaojie
    Ge, Weigao
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2006, 36 (05) : 1471 - 1486
  • [5] [杜增吉 Du Zengji], 2006, [数学学报, Acta Mathematica Sinica], V49, P87
  • [6] Eggensperger M., 2005, INT J APPL MATH SCI, V2, P196
  • [7] Graef J. R., 2008, P DYNAM SYSTEMS APPL, V5, P186
  • [8] Three solutions of an nth order three-point focal type boundary value problem
    Graef, John R.
    Henderson, Johnny
    Wong, Patricia J. Y.
    Yang, Bo
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) : 3386 - 3404
  • [9] Graef JR, 2006, DYNAM CONT DIS SER A, V13, P39
  • [10] POSITIVE SOLUTIONS OF A THIRD ORDER NONLOCAL BOUNDARY VALUE PROBLEM
    Graef, John R.
    Yang, Bo
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2008, 1 (01): : 89 - 97
123