Solvability of a boundary value problem with a Nagumo Condition

The aim of this paper is to discuss the existence and localization of solutions for a generalized Emden-Fowler equation involving a conformable derivative and with a Dirichlet boundary condition. Our approach is based on the lower and upper solutions method and Schauder fixed-point theorem under a N...

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Main Authors: R. Khaldi, A. Guezane-Lakoud
Format: Article
Language:English
Published: Taylor & Francis Group 2018-07-01
Series:Journal of Taibah University for Science
Subjects:
Online Access:http://dx.doi.org/10.1080/16583655.2018.1489025
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author R. Khaldi
A. Guezane-Lakoud
author_facet R. Khaldi
A. Guezane-Lakoud
author_sort R. Khaldi
collection DOAJ
description The aim of this paper is to discuss the existence and localization of solutions for a generalized Emden-Fowler equation involving a conformable derivative and with a Dirichlet boundary condition. Our approach is based on the lower and upper solutions method and Schauder fixed-point theorem under a Nagumo condition.
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spelling doaj.art-deaef0424287437293aaaf91f3319a872022-12-22T01:55:35ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552018-07-0112443944310.1080/16583655.2018.14890251489025Solvability of a boundary value problem with a Nagumo ConditionR. Khaldi0A. Guezane-Lakoud1Badji Mokhtar-Annaba UniversityBadji Mokhtar-Annaba UniversityThe aim of this paper is to discuss the existence and localization of solutions for a generalized Emden-Fowler equation involving a conformable derivative and with a Dirichlet boundary condition. Our approach is based on the lower and upper solutions method and Schauder fixed-point theorem under a Nagumo condition.http://dx.doi.org/10.1080/16583655.2018.1489025Conformable derivativeexistence of solutionupper and lower solutions method
spellingShingle R. Khaldi
A. Guezane-Lakoud
Solvability of a boundary value problem with a Nagumo Condition
Journal of Taibah University for Science
Conformable derivative
existence of solution
upper and lower solutions method
title Solvability of a boundary value problem with a Nagumo Condition
title_full Solvability of a boundary value problem with a Nagumo Condition
title_fullStr Solvability of a boundary value problem with a Nagumo Condition
title_full_unstemmed Solvability of a boundary value problem with a Nagumo Condition
title_short Solvability of a boundary value problem with a Nagumo Condition
title_sort solvability of a boundary value problem with a nagumo condition
topic Conformable derivative
existence of solution
upper and lower solutions method
url http://dx.doi.org/10.1080/16583655.2018.1489025
work_keys_str_mv AT rkhaldi solvabilityofaboundaryvalueproblemwithanagumocondition
AT aguezanelakoud solvabilityofaboundaryvalueproblemwithanagumocondition