On the Oscillation of Solutions of Differential Equations with Neutral Term

In this work, new criteria for the oscillatory behavior of even-order delay differential equations with neutral term are established by comparison technique, Riccati transformation and integral averaging method. The presented results essentially extend and simplify known conditions in the literature...

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Main Authors:	Fatemah Mofarreh, Alanoud Almutairi, Omar Bazighifan, Mohammed A. Aiyashi, Alina-Daniela Vîlcu
Format:	article
Language:	EN
Published:	MDPI AG 2021
Subjects:	oscillation even order neutral coefficients differential equation Mathematics QA1-939
Online Access:	https://doaj.org/article/3beef39eb88c4b0e9dc8392a366bd6ef
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spelling	oai:doaj.org-article:3beef39eb88c4b0e9dc8392a366bd6ef2021-11-11T18:16:06ZOn the Oscillation of Solutions of Differential Equations with Neutral Term10.3390/math92127092227-7390https://doaj.org/article/3beef39eb88c4b0e9dc8392a366bd6ef2021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2709https://doaj.org/toc/2227-7390In this work, new criteria for the oscillatory behavior of even-order delay differential equations with neutral term are established by comparison technique, Riccati transformation and integral averaging method. The presented results essentially extend and simplify known conditions in the literature. To prove the validity of our results, we give some examples.Fatemah MofarrehAlanoud AlmutairiOmar BazighifanMohammed A. AiyashiAlina-Daniela VîlcuMDPI AGarticleoscillationeven orderneutral coefficientsdifferential equationMathematicsQA1-939ENMathematics, Vol 9, Iss 2709, p 2709 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	oscillation even order neutral coefficients differential equation Mathematics QA1-939
spellingShingle	oscillation even order neutral coefficients differential equation Mathematics QA1-939 Fatemah Mofarreh Alanoud Almutairi Omar Bazighifan Mohammed A. Aiyashi Alina-Daniela Vîlcu On the Oscillation of Solutions of Differential Equations with Neutral Term
description	In this work, new criteria for the oscillatory behavior of even-order delay differential equations with neutral term are established by comparison technique, Riccati transformation and integral averaging method. The presented results essentially extend and simplify known conditions in the literature. To prove the validity of our results, we give some examples.
format	article
author	Fatemah Mofarreh Alanoud Almutairi Omar Bazighifan Mohammed A. Aiyashi Alina-Daniela Vîlcu
author_facet	Fatemah Mofarreh Alanoud Almutairi Omar Bazighifan Mohammed A. Aiyashi Alina-Daniela Vîlcu
author_sort	Fatemah Mofarreh
title	On the Oscillation of Solutions of Differential Equations with Neutral Term
title_short	On the Oscillation of Solutions of Differential Equations with Neutral Term
title_full	On the Oscillation of Solutions of Differential Equations with Neutral Term
title_fullStr	On the Oscillation of Solutions of Differential Equations with Neutral Term
title_full_unstemmed	On the Oscillation of Solutions of Differential Equations with Neutral Term
title_sort	on the oscillation of solutions of differential equations with neutral term
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/3beef39eb88c4b0e9dc8392a366bd6ef
work_keys_str_mv	AT fatemahmofarreh ontheoscillationofsolutionsofdifferentialequationswithneutralterm AT alanoudalmutairi ontheoscillationofsolutionsofdifferentialequationswithneutralterm AT omarbazighifan ontheoscillationofsolutionsofdifferentialequationswithneutralterm AT mohammedaaiyashi ontheoscillationofsolutionsofdifferentialequationswithneutralterm AT alinadanielavilcu ontheoscillationofsolutionsofdifferentialequationswithneutralterm
_version_	1718431877725945856

On the Oscillation of Solutions of Differential Equations with Neutral Term

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