Multiplicity of positive solutions for a third-order boundary value problem with nonlocal conditions of integral type

We prove the existence of multiple positive solutions for a nonlinear third-order nonlocal boundary value problem by applying Krasnosel’skii’s fixed point theorem. To illustrate the applicability of the obtained results, we consider an example.

Saved in:
Bibliographic Details
Main Author: Sergey Smirnov
Format: Article
Language:English
Published: Miskolc University Press 2024-01-01
Series:Miskolc Mathematical Notes
Online Access:http://mat76.mat.uni-miskolc.hu/mnotes/article/4433
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832592260891410432
author Sergey Smirnov
author_facet Sergey Smirnov
author_sort Sergey Smirnov
collection DOAJ
description We prove the existence of multiple positive solutions for a nonlinear third-order nonlocal boundary value problem by applying Krasnosel’skii’s fixed point theorem. To illustrate the applicability of the obtained results, we consider an example.
format Article
id doaj-art-06dbf48908ef431cb4177ad0c972cfa6
institution Kabale University
issn 1787-2405
1787-2413
language English
publishDate 2024-01-01
publisher Miskolc University Press
record_format Article
series Miskolc Mathematical Notes
spelling doaj-art-06dbf48908ef431cb4177ad0c972cfa62025-01-21T12:00:07ZengMiskolc University PressMiskolc Mathematical Notes1787-24051787-24132024-01-0125299910.18514/MMN.2024.4433Multiplicity of positive solutions for a third-order boundary value problem with nonlocal conditions of integral typeSergey SmirnovWe prove the existence of multiple positive solutions for a nonlinear third-order nonlocal boundary value problem by applying Krasnosel’skii’s fixed point theorem. To illustrate the applicability of the obtained results, we consider an example.http://mat76.mat.uni-miskolc.hu/mnotes/article/4433
spellingShingle Sergey Smirnov
Multiplicity of positive solutions for a third-order boundary value problem with nonlocal conditions of integral type
Miskolc Mathematical Notes
title Multiplicity of positive solutions for a third-order boundary value problem with nonlocal conditions of integral type
title_full Multiplicity of positive solutions for a third-order boundary value problem with nonlocal conditions of integral type
title_fullStr Multiplicity of positive solutions for a third-order boundary value problem with nonlocal conditions of integral type
title_full_unstemmed Multiplicity of positive solutions for a third-order boundary value problem with nonlocal conditions of integral type
title_short Multiplicity of positive solutions for a third-order boundary value problem with nonlocal conditions of integral type
title_sort multiplicity of positive solutions for a third order boundary value problem with nonlocal conditions of integral type
url http://mat76.mat.uni-miskolc.hu/mnotes/article/4433
work_keys_str_mv AT sergeysmirnov multiplicityofpositivesolutionsforathirdorderboundaryvalueproblemwithnonlocalconditionsofintegraltype