Eigenvalue for a singular third-order three-point boundary value problem

被引：30

作者：

Feng, Xingfang ^{[1
]}

Feng, Hanying ^{[1
]}

Bai, Donglong ^{[1
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Hebei, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 18期

基金：

中国国家自然科学基金;

关键词：

Three-point boundary value problem; Krasnoselskii's fixed point theorem; Positive solution; Eigenvalue; Existence; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.amc.2013.03.107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence of positive solutions for a singular third-order three-point boundary value problem is investigated. By using Krasnoselskii's fixed point theorem, several sufficient conditions for the existence of positive solutions and the eigenvalue intervals on which there exists a positive solution are obtained. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：9783 / 9790

页数：8

共 50 条

[1] Positive Solutions to a Singular Third-Order Three-Point Boundary Value Problem
Hong Ping WU College of Mathematics and Information Science
[J]. Journal of Mathematical Research with Applications, 2011, (02) : 287 - 294
[2] Positive solutions of singular third-order three-point boundary value problem
Sun, YP
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 306 (02) : 589 - 603
[3] Positive Solutions to a Singular Third-Order Three-Point Boundary Value Problem
Hong Ping WU College of Mathematics and Information ScienceNorthwest Normal UniversityGansu PRChina
[J]. 数学研究与评论., 2011, 31 (02) - 294
[4] MULTIPLE POSITIVE SOLUTIONS TO A SINGULAR THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM
Hongping Wu(College of Math. and Information Science
[J]. Annals of Applied Mathematics, 2011, (03) : 379 - 383
[5] MULTIPLE POSITIVE SOLUTIONS TO A SINGULAR THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM
Hongping WuCollege of Math and Information ScienceNorthwest Normal UniversityLanzhou
[J]. Annals of Differential Equations., 2011, 27 (03) - 383
[6] EXISTENCE OF POSITIVE SOLUTIONS TO A SINGULAR THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM
Hongping Wu
Shaolin Zhou
[J]. Annals of Applied Mathematics, 2017, 33 (02) : 186 - 193
[7] POSITIVE SOLUTIONS OF NONLINEAR SINGULAR THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM
Hao, Zhao-Cai
Yan, Wen
[J]. ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2010, 6 (01): : 57 - 71
[8] Eigenvalue for a singular second order three-point boundary value problem
Bai, Donglong
Feng, Hanying
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2012, 38 (1-2) : 443 - 452
[9] Eigenvalue for a singular second order three-point boundary value problem
Donglong Bai
Hanying Feng
[J]. Journal of Applied Mathematics and Computing, 2012, 38 (1-2) : 443 - 452
[10] Study of a third-order three-point boundary value problem
Guezane-Lakoud, Assia
Khaldi, Rabah
[J]. ICMS: INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE, 2010, 1309 : 590 - 596

← 1 2 3 4 5 →