Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities

In this paper, we investigate the existence of a positive periodic solution for the following fourth-order p-Laplacian generalized neutral differential equation with attractive and repulsive singularities: [Formula: see text] where g has a singularity at the origin. The novelty of the present articl...

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Detalles Bibliográficos
Autores principales: Xin, Yun, Liu, Hongmin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154058/
https://www.ncbi.nlm.nih.gov/pubmed/30839672
http://dx.doi.org/10.1186/s13660-018-1849-x
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author Xin, Yun
Liu, Hongmin
author_facet Xin, Yun
Liu, Hongmin
author_sort Xin, Yun
collection PubMed
description In this paper, we investigate the existence of a positive periodic solution for the following fourth-order p-Laplacian generalized neutral differential equation with attractive and repulsive singularities: [Formula: see text] where g has a singularity at the origin. The novelty of the present article is that we show that attractive and repulsive singularities enable the achievement of a new existence criterion of a positive periodic solution through an application of coincidence degree theory. Recent results in the literature are generalized and significantly improved.
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spelling pubmed-61540582018-10-10 Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities Xin, Yun Liu, Hongmin J Inequal Appl Research In this paper, we investigate the existence of a positive periodic solution for the following fourth-order p-Laplacian generalized neutral differential equation with attractive and repulsive singularities: [Formula: see text] where g has a singularity at the origin. The novelty of the present article is that we show that attractive and repulsive singularities enable the achievement of a new existence criterion of a positive periodic solution through an application of coincidence degree theory. Recent results in the literature are generalized and significantly improved. Springer International Publishing 2018-09-24 2018 /pmc/articles/PMC6154058/ /pubmed/30839672 http://dx.doi.org/10.1186/s13660-018-1849-x Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Xin, Yun
Liu, Hongmin
Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities
title Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities
title_full Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities
title_fullStr Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities
title_full_unstemmed Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities
title_short Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities
title_sort existence of periodic solution for fourth-order generalized neutral p-laplacian differential equation with attractive and repulsive singularities
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154058/
https://www.ncbi.nlm.nih.gov/pubmed/30839672
http://dx.doi.org/10.1186/s13660-018-1849-x
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AT liuhongmin existenceofperiodicsolutionforfourthordergeneralizedneutralplaplaciandifferentialequationwithattractiveandrepulsivesingularities

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