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

页码：1035 / 1054

页数：20

共 16 条

[1] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES
AMANN, H
[J]. 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
Eloe, PW
Henderson, J
[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
Henderson, J.
Ntouyas, S. K.
Purnaras, I. K.
[J]. MATHEMATICAL MODELLING AND ANALYSIS, 2008, 13 (03) : 357 - 370
[8] Existence and multiplicity for positive solutions of a multi-point boundary value problem
Henderson, Johnny
Luca, Rodica
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (21) : 10572 - 10585
[9] Positive solutions for a system of second-order multi-point boundary value problems
Henderson, Johnny
Luca, Rodica
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (10) : 6083 - 6094
[10] Positive solutions for a system of higher-order multi-point boundary value problems
Henderson, Johnny
Luca, Rodica
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (10) : 3920 - 3932

← 1 2 →