Positive solutions for three-point boundary value problems with dependence on the first order derivative

被引：104

作者：

Guo, YP ^{[1
]}

Ge, WG

机构：

[1] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China

[2] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 290卷 / 01期

关键词：

three-point boundary value problem; fixed point theorem in a cone; green's function; positive solution;

D O I：

10.1016/j.jmaa.2003.09.061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new fixed point theorem in a cone is applied to obtain the existence of at least one positive solution for the second order three-point boundary value problem [GRAPHICS] where f is a nonnegative continuous function, alpha > 0, eta is an element of (0, 1), alphaeta < 1. The associated Green's function for the above problem is also used. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：291 / 301

页数：11

共 11 条

[1] Multiple positive solutions for a three-point boundary value problem [J].

Anderson, D .

MATHEMATICAL AND COMPUTER MODELLING, 1998, 27 (06) :49-57

[2] Fixed point theorem of cone expansion and compression of functional type [J].

Anderson, DR ;

Avery, RI .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (11) :1073-1083

[3]

[Anonymous], ELECT J DIFF EQNS

[4]

Dugundji J., 1951, PAC J MATH, V1, P353

[5]

Guo D., 1988, NONLINEAR PROBLEMS A

[6] Triple solutions for second-order three-point boundary value problems [J].

He, XM ;

Ge, WG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 268 (01) :256-265

[7] MULTIPLE POSITIVE FIXED-POINTS OF NON-LINEAR OPERATORS ON ORDERED BANACH-SPACES [J].

LEGGETT, RW ;

WILLIAMS, LR .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1979, 28 (04) :673-688

[8] Positive solutions for second-order three-point boundary value problems [J].

Ma, RY .

APPLIED MATHEMATICS LETTERS, 2001, 14 (01) :1-5

[9] Existence theorems for a second order m-point boundary value problem [J].

Ma, RY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 211 (02) :545-555

[10] Positive solutions of a nonlinear m-point boundary value problem [J].

Ma, RY .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (6-7) :755-765

← 1 2 →