Multiple positive solutions for a second-order three-point boundary value problem

被引：20

作者：

Li, Jianli ^{[1
]}

Shen, Jianhua

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

[2] Coll Huaihua, Dept Math, Hunan 418008, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 182卷 / 01期

基金：

中国国家自然科学基金;

关键词：

positive solution; fixed point theorem; three-point boundary value problem;

D O I：

10.1016/j.amc.2006.01.095

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the second-order three-point boundary value problem u '' (t) + a (t) u'(t) + b (t) u (t) + h (t)f (u) = 0, t is an element of (0, 1), u(0) = 0, alpha u(q) = u(l). The existence criteria for multiple positive solutions is obtained by using Krasnoselskii fixed point theorem and Leggett-Williams fixed-point theorem. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：258 / 268

页数：11

共 50 条

[41] Positive Solutions for Second-order Multiple-point Boundary Value Problem with Delay
Wei, Yuming
Wong, Patricia J. Y.
Ge, Weigao
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 737 - 743
[42] UPPER AND LOWER SOLUTIONS FOR A SECOND-ORDER THREE-POINT SINGULAR BOUNDARY-VALUE PROBLEM
Zhang, Qiumei
Jiang, Daqing
Weng, Shiyou
Gao, Haiyin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[43] MULTIPLE POSITIVE SOLUTIONS TO A SINGULAR THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM
Hongping Wu(College of Math. and Information Science
Annals of Applied Mathematics, 2011, (03) : 379 - 383
[44] Nontrivial solution of a nonlinear second-order three-point boundary value problem
Li S.
Sun Y.
Applied Mathematics-A Journal of Chinese Universities, 2007, 22 (1) : 37 - 47
[45] NONTRIVIAL SOLUTION OF A NONLINEAR SECOND-ORDER THREE-POINT BOUNDARY VALUE PROBLEM
Li Shuhong Sun Yongping Department of Mathematics
Department of Applied Mathematics
Department of Electron and Information
Applied Mathematics:A Journal of Chinese Universities(Series B), 2007, (01) : 37 - 47
[46] Positive solutions for singular second order three-point boundary value problems
Liu, Bingmei
Liu, Lishan
Wu, Yonghong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (12) : 2756 - 2766
[47] Positive solutions for a three-point boundary value problem
Han, Xiaoling
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (03) : 679 - 688
[48] Positive solutions of second-order three-point boundary value problems with change of sign in Banach spaces
Liu, B
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (06) : 1336 - 1355
[49] Three symmetric positive solutions for a second-order boundary value problem
Avery, RI
Henderson, J
APPLIED MATHEMATICS LETTERS, 2000, 13 (03) : 1 - 7
[50] New results of positive solutions for second-order nonlinear three-point integral boundary value problems
Yao, Zhijian
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (02): : 93 - 98

← 1 2 3 4 5 →