Higher order non-local (n-1, 1) conjugate type boundary value problems

被引:0
作者
Webb, J. R. L. [1 ]
机构
[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland
来源
MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE | 2009年 / 1124卷
关键词
higher order equations; conjugate type boundary conditions; nonlocal boundary conditions; MULTIPLE POSITIVE SOLUTIONS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show how some recent work of Webb and Infante, which gave a unified method of tackling many nonlocal boundary value problems, can be applied to some higher order boundary value problems with more general nonlocal boundary conditions than previously studied. This improves some recent work on problems with conjugate type boundary conditions.
引用
收藏
页码:332 / 341
页数:10
相关论文
共 20 条
[1]   Multiplicity results for singular conjugate, focal, and (n, p) problems [J].
Agarwal, RP ;
O'Regan, D .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 170 (01) :142-156
[2]   Green's function and positive solutions of nth order m-point boundary value problem [J].
Changci, Pang ;
Wei, Dong ;
Zhongli, Wei .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (02) :1231-1239
[3]   Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions [J].
Eloe, PW ;
Ahmad, B .
APPLIED MATHEMATICS LETTERS, 2005, 18 (05) :521-527
[4]   Positive solutions for (n-1,1) conjugate boundary value problems [J].
Eloe, PW ;
Henderson, J .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (10) :1669-1680
[5]  
Guo D., 1988, Nonlinear Problems in Abstract Cones
[6]   Three positive solutions for a nonlinear nth-order m-point boundary value problem [J].
Guo, Yanping ;
Ji, Yude ;
Zhang, Jiehua .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (11) :3485-3492
[7]   Positive solutions for nonlinear nth-order singular nonlocal boundary value problems [J].
Hao, Xin'an ;
Liu, Lishan ;
Wu, Yonghong .
BOUNDARY VALUE PROBLEMS, 2007, 2007 (1)
[8]  
JIANG W, NONLINEAR ANAL, V68, P1064
[9]   The Green's function for (k, n-k) conjugate boundary value problems and its applications [J].
Kong, LB ;
Wang, JY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 255 (02) :404-422
[10]  
Krasnoselskii M. A., 1984, Geometrical Methods of Nonlinear Analysis