Existence and multiplicity for positive solutions of a system of higher-order multi-point boundary value problems

被引：21
作者：
Henderson, Johnny [1 ]
Luca, Rodica [2 ]
机构：
[1] Baylor Univ, Dept Math, Waco, TX 76798 USA
[2] Gh Asachi Tech Univ, Dept Math, Iasi 700506, Romania
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2013年 / 20卷 / 03期
关键词：
higher-order differential system; multi-point boundary conditions; positive solutions; EQUATIONS;
D O I：
10.1007/s00030-012-0195-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the existence and multiplicity of positive solutions of multi-point boundary value problems for systems of nonlinear higher-order ordinary differential equations.
引用
收藏
页码：1035 / 1054
页数：20
相关论文
共 16 条
[1]   FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES [J].
AMANN, H .
SIAM REVIEW, 1976, 18 (04) :620-709
[2]  
[Anonymous], AUST J MATH ANAL APP
[3]  
[Anonymous], DYN CONTIN DISCRET A
[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]  
Henderson J, 2007, ELECTRON J QUAL THEO, P1
[6]  
Henderson J, 2008, COMMENT MATH UNIV CA, V49, P79
[7]   POSITIVE SOLUTIONS FOR SYSTEMS OF M-POINT NONLINEAR BOUNDARY VALUE PROBLEMS [J].
Henderson, J. ;
Ntouyas, S. K. ;
Purnaras, I. K. .
MATHEMATICAL MODELLING AND ANALYSIS, 2008, 13 (03) :357-370
[8]   Existence and multiplicity for positive solutions of a multi-point boundary value problem [J].
Henderson, Johnny ;
Luca, Rodica .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (21) :10572-10585
[9]   Positive solutions for a system of second-order multi-point boundary value problems [J].
Henderson, Johnny ;
Luca, Rodica .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (10) :6083-6094
[10]   Positive solutions for a system of higher-order multi-point boundary value problems [J].
Henderson, Johnny ;
Luca, Rodica .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (10) :3920-3932
12