Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations

Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations

The aim of this paper is to study a boundary value problem of the hybrid differential equation with linear and nonlinear perturbations. It generalizes the existing problem of second type. The existence result is constructed using the Leray–Schauder alternative, and the uniqueness is guaranteed by Ba...

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Main Authors: Said Melliani, Abdelati El Allaoui, Lalla Saadia Chadli
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2020/9850924
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spelling doaj-9c11e8d8e2394f96a43e0afc0bfbd1e22020-11-25T03:22:10ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512020-01-01202010.1155/2020/98509249850924Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear PerturbationsSaid Melliani0Abdelati El Allaoui1Lalla Saadia Chadli2Sultan Moulay Slimane University, Department of Mathematics, Laboratory of Applied Mathematics & Scientific Calculus, P.O. Box 523, Beni Mellal, MoroccoSultan Moulay Slimane University, Department of Mathematics, Laboratory of Applied Mathematics & Scientific Calculus, P.O. Box 523, Beni Mellal, MoroccoSultan Moulay Slimane University, Department of Mathematics, Laboratory of Applied Mathematics & Scientific Calculus, P.O. Box 523, Beni Mellal, MoroccoThe aim of this paper is to study a boundary value problem of the hybrid differential equation with linear and nonlinear perturbations. It generalizes the existing problem of second type. The existence result is constructed using the Leray–Schauder alternative, and the uniqueness is guaranteed by Banach’s fixed-point theorem. Towards the end of this paper, an example is provided to illustrate the obtained results.http://dx.doi.org/10.1155/2020/9850924
collection DOAJ
language English
format Article
sources DOAJ
author Said Melliani
Abdelati El Allaoui
Lalla Saadia Chadli
spellingShingle Said Melliani
Abdelati El Allaoui
Lalla Saadia Chadli
Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations
International Journal of Differential Equations
author_facet Said Melliani
Abdelati El Allaoui
Lalla Saadia Chadli
author_sort Said Melliani
title Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations
title_short Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations
title_full Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations
title_fullStr Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations
title_full_unstemmed Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations
title_sort boundary value problem of nonlinear hybrid differential equations with linear and nonlinear perturbations
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2020-01-01
description The aim of this paper is to study a boundary value problem of the hybrid differential equation with linear and nonlinear perturbations. It generalizes the existing problem of second type. The existence result is constructed using the Leray–Schauder alternative, and the uniqueness is guaranteed by Banach’s fixed-point theorem. Towards the end of this paper, an example is provided to illustrate the obtained results.
url http://dx.doi.org/10.1155/2020/9850924
work_keys_str_mv AT saidmelliani boundaryvalueproblemofnonlinearhybriddifferentialequationswithlinearandnonlinearperturbations
AT abdelatielallaoui boundaryvalueproblemofnonlinearhybriddifferentialequationswithlinearandnonlinearperturbations
AT lallasaadiachadli boundaryvalueproblemofnonlinearhybriddifferentialequationswithlinearandnonlinearperturbations
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