Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces

Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces

<p>Abstract</p> <p>By obtaining intervals of the parameter <it>&#955;</it>, this article investigates the existence of a positive solution for a class of nonlinear boundary value problems of second-order differential equations with integral boundary conditions in ab...

Full description

Bibliographic Details
Main Author: Zhang Peiguo
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Fixed Point Theory and Applications
Subjects:
boundary value problem
positive solution
fixed point theorem
measure of noncompactness
Online Access:http://www.fixedpointtheoryandapplications.com/content/2011/1/43
id doaj-0a125adb9ca14d858faa24076f1cdd2d
record_format Article
spelling doaj-0a125adb9ca14d858faa24076f1cdd2d2020-11-24T23:41:10ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-012011143Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spacesZhang Peiguo<p>Abstract</p> <p>By obtaining intervals of the parameter <it>&#955;</it>, this article investigates the existence of a positive solution for a class of nonlinear boundary value problems of second-order differential equations with integral boundary conditions in abstract spaces. The arguments are based upon a specially constructed cone and the fixed point theory in cone for a strict set contraction operator.</p> <p> <b>MSC: </b>34B15; 34B16.</p> http://www.fixedpointtheoryandapplications.com/content/2011/1/43boundary value problempositive solutionfixed point theoremmeasure of noncompactness
collection DOAJ
language English
format Article
sources DOAJ
author Zhang Peiguo
spellingShingle Zhang Peiguo
Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces
Fixed Point Theory and Applications
boundary value problem
positive solution
fixed point theorem
measure of noncompactness
author_facet Zhang Peiguo
author_sort Zhang Peiguo
title Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces
title_short Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces
title_full Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces
title_fullStr Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces
title_full_unstemmed Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces
title_sort existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in banach spaces
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2011-01-01
description <p>Abstract</p> <p>By obtaining intervals of the parameter <it>&#955;</it>, this article investigates the existence of a positive solution for a class of nonlinear boundary value problems of second-order differential equations with integral boundary conditions in abstract spaces. The arguments are based upon a specially constructed cone and the fixed point theory in cone for a strict set contraction operator.</p> <p> <b>MSC: </b>34B15; 34B16.</p>
topic boundary value problem
positive solution
fixed point theorem
measure of noncompactness
url http://www.fixedpointtheoryandapplications.com/content/2011/1/43
work_keys_str_mv AT zhangpeiguo existenceofpositivesolutionsfornonlocalsecondorderboundaryvalueproblemwithvariableparameterinbanachspaces
_version_ 1716285195298013184

Similar Items