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

[21] Positive solutions of second-order semipositone singular three-point boundary value problems
Guo, Yingxin
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (05) : 1 - 11
[22] Positive solutions of three-point nonlinear discrete second order boundary value problem
Ma, RY
Raffoul, YN
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2004, 10 (02) : 129 - 138
[23] Three positive solutions for a second order difference equation with three-point boundary value problem
Lin X.
Liu W.
Journal of Applied Mathematics and Computing, 2009, 31 (1-2) : 279 - 288
[24] Multiple positive solutions for a three-point boundary value problem
Anderson, D
MATHEMATICAL AND COMPUTER MODELLING, 1998, 27 (06) : 49 - 57
[25] Positive solutions for a singular three-point boundary value problem of second-order dynamic equation on time scales
Wang, Lili
Engineering Letters, 2023, 31 (03) : 954 - 960
[26] Existence of positive solutions for second-order impulsive differential equations with delay and three-point boundary value problem
Wenai Xu
Wei Ding
Advances in Difference Equations, 2016
[27] POSITIVE SOLUTIONS OF A SECOND-ORDER THREE-POINT BOUNDARY VALUE PROBLEM VIA FUNCTIONAL COMPRESSION-EXPANSION
Ehrke, John
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (55) : 1 - 8
[28] Existence of positive solutions for second-order impulsive differential equations with delay and three-point boundary value problem
Xu, Wenai
Ding, Wei
ADVANCES IN DIFFERENCE EQUATIONS, 2016, : 1 - 11
[29] Existence of an Asymptotic Second-order Three-point Boundary Value Problem
江秀芬
姚庆六
NortheasternMathematicalJournal, 2003, (02) : 123 - 126
[30] MULTIPLE POSITIVE SOLUTIONS FOR SECOND-ORDER THREE-POINT BOUNDARY-VALUE PROBLEMS WITH SIGN CHANGING NONLINEARITIES
Liu, Jian
Zhao, Zengqin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,

← 1 2 3 4 5 →