Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem

This paper is concerned with the existence and nonexistence of positive solutions for a nonlinear higher-order three-point boundary value problem. The existence results are obtained by applying a fixed point theorem of cone expansion and compression of functional type due to Aver...

Full description

Saved in:
Bibliographic Details
Main Authors: Yongping Sun, Qian Sun, Xiaoping Zhang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/513051
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832552833634795520
author Yongping Sun
Qian Sun
Xiaoping Zhang
author_facet Yongping Sun
Qian Sun
Xiaoping Zhang
author_sort Yongping Sun
collection DOAJ
description This paper is concerned with the existence and nonexistence of positive solutions for a nonlinear higher-order three-point boundary value problem. The existence results are obtained by applying a fixed point theorem of cone expansion and compression of functional type due to Avery, Henderson, and O’Regan.
format Article
id doaj-art-28da8ed407244a958140a4cbf78b4158
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-28da8ed407244a958140a4cbf78b41582025-02-03T05:57:38ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/513051513051Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value ProblemYongping Sun0Qian Sun1Xiaoping Zhang2College of Electron and Information, Zhejiang University of Media and Communications, Hangzhou, Zhejiang 310018, ChinaDepartment of Mathematics and Statistics, Curtin University, Perth, WA 6845, AustraliaCollege of Electron and Information, Zhejiang University of Media and Communications, Hangzhou, Zhejiang 310018, ChinaThis paper is concerned with the existence and nonexistence of positive solutions for a nonlinear higher-order three-point boundary value problem. The existence results are obtained by applying a fixed point theorem of cone expansion and compression of functional type due to Avery, Henderson, and O’Regan.http://dx.doi.org/10.1155/2014/513051
spellingShingle Yongping Sun
Qian Sun
Xiaoping Zhang
Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem
Abstract and Applied Analysis
title Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem
title_full Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem
title_fullStr Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem
title_full_unstemmed Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem
title_short Existence and Nonexistence of Positive Solutions for a Higher-Order Three-Point Boundary Value Problem
title_sort existence and nonexistence of positive solutions for a higher order three point boundary value problem
url http://dx.doi.org/10.1155/2014/513051
work_keys_str_mv AT yongpingsun existenceandnonexistenceofpositivesolutionsforahigherorderthreepointboundaryvalueproblem
AT qiansun existenceandnonexistenceofpositivesolutionsforahigherorderthreepointboundaryvalueproblem
AT xiaopingzhang existenceandnonexistenceofpositivesolutionsforahigherorderthreepointboundaryvalueproblem