Some new oscillation criteria of fourth-order quasi-linear differential equations with neutral term

Abstract In this article, we are interested in studying the asymptotic behavior of fourth-order neutral differential equations. Despite the growing interest in studying the oscillatory behavior of delay differential equations of second-order, fourth-order equations have received less attention. We g...

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Main Authors:	Saeed Althubiti, Fahad Alsharari, Omar Bazighifan, George E. Chatzarakis
Format:	Article
Language:	English
Published:	SpringerOpen 2021-08-01
Series:	Advances in Difference Equations
Subjects:	Fourth-order differential equations Neutral delay Oscillation Philos-type oscillation
Online Access:	https://doi.org/10.1186/s13662-021-03555-x

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spelling	doaj-dacdab2d920c4cc6934e0f75e88e241a2021-09-05T11:18:50ZengSpringerOpenAdvances in Difference Equations1687-18472021-08-012021111110.1186/s13662-021-03555-xSome new oscillation criteria of fourth-order quasi-linear differential equations with neutral termSaeed Althubiti0Fahad Alsharari1Omar Bazighifan2George E. Chatzarakis3Department of Mathematics and Statistics, College of Science, Taif UniversityDepartment of Mathematics, College of Science and Human Studies, Hotat Sudair, Majmaah UniversityDepartment of Mathematics, Faculty of Science, Hadhramout UniversityDepartment of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE)Abstract In this article, we are interested in studying the asymptotic behavior of fourth-order neutral differential equations. Despite the growing interest in studying the oscillatory behavior of delay differential equations of second-order, fourth-order equations have received less attention. We get more than one criterion to check the oscillation by the generalized Riccati method and the integral average technique. Our results are an extension and complement to some results published in the literature. Examples are given to prove the significance of new theorems.https://doi.org/10.1186/s13662-021-03555-xFourth-order differential equationsNeutral delayOscillationPhilos-type oscillation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Saeed Althubiti Fahad Alsharari Omar Bazighifan George E. Chatzarakis
spellingShingle	Saeed Althubiti Fahad Alsharari Omar Bazighifan George E. Chatzarakis Some new oscillation criteria of fourth-order quasi-linear differential equations with neutral term Advances in Difference Equations Fourth-order differential equations Neutral delay Oscillation Philos-type oscillation
author_facet	Saeed Althubiti Fahad Alsharari Omar Bazighifan George E. Chatzarakis
author_sort	Saeed Althubiti
title	Some new oscillation criteria of fourth-order quasi-linear differential equations with neutral term
title_short	Some new oscillation criteria of fourth-order quasi-linear differential equations with neutral term
title_full	Some new oscillation criteria of fourth-order quasi-linear differential equations with neutral term
title_fullStr	Some new oscillation criteria of fourth-order quasi-linear differential equations with neutral term
title_full_unstemmed	Some new oscillation criteria of fourth-order quasi-linear differential equations with neutral term
title_sort	some new oscillation criteria of fourth-order quasi-linear differential equations with neutral term
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2021-08-01
description	Abstract In this article, we are interested in studying the asymptotic behavior of fourth-order neutral differential equations. Despite the growing interest in studying the oscillatory behavior of delay differential equations of second-order, fourth-order equations have received less attention. We get more than one criterion to check the oscillation by the generalized Riccati method and the integral average technique. Our results are an extension and complement to some results published in the literature. Examples are given to prove the significance of new theorems.
topic	Fourth-order differential equations Neutral delay Oscillation Philos-type oscillation
url	https://doi.org/10.1186/s13662-021-03555-x
work_keys_str_mv	AT saeedalthubiti somenewoscillationcriteriaoffourthorderquasilineardifferentialequationswithneutralterm AT fahadalsharari somenewoscillationcriteriaoffourthorderquasilineardifferentialequationswithneutralterm AT omarbazighifan somenewoscillationcriteriaoffourthorderquasilineardifferentialequationswithneutralterm AT georgeechatzarakis somenewoscillationcriteriaoffourthorderquasilineardifferentialequationswithneutralterm
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Some new oscillation criteria of fourth-order quasi-linear differential equations with neutral term

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