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>λ</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...
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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>λ</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>λ</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 |