Oscillation Criteria for a Class of Third-Order Damped Neutral Differential Equations

Oscillation Criteria for a Class of Third-Order Damped Neutral Differential Equations

In this paper, we study the asymptotic and oscillatory properties of a certain class of third-order neutral delay differential equations with middle term. We obtain new characterizations of oscillation of the third-order neutral equation in terms of oscillation of a related, well-studied, second-ord...

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Main Authors: Elmetwally M. Elabbasy, Belgees Qaraad, Thabet Abdeljawad, Osama Moaaz
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Symmetry
Subjects:
third-order differential equations
delay
oscillation criteria
Online Access:https://www.mdpi.com/2073-8994/12/12/1988
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spelling doaj-9008000921fc476bad6ede669c5d86d02020-12-02T00:01:56ZengMDPI AGSymmetry2073-89942020-12-01121988198810.3390/sym12121988Oscillation Criteria for a Class of Third-Order Damped Neutral Differential EquationsElmetwally M. Elabbasy0Belgees Qaraad1Thabet Abdeljawad2Osama Moaaz3Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptIn this paper, we study the asymptotic and oscillatory properties of a certain class of third-order neutral delay differential equations with middle term. We obtain new characterizations of oscillation of the third-order neutral equation in terms of oscillation of a related, well-studied, second-order linear equation without damping. An Example is provided to illustrate the main results.https://www.mdpi.com/2073-8994/12/12/1988third-order differential equationsdelayoscillation criteria
collection DOAJ
language English
format Article
sources DOAJ
author Elmetwally M. Elabbasy
Belgees Qaraad
Thabet Abdeljawad
Osama Moaaz
spellingShingle Elmetwally M. Elabbasy
Belgees Qaraad
Thabet Abdeljawad
Osama Moaaz
Oscillation Criteria for a Class of Third-Order Damped Neutral Differential Equations
Symmetry
third-order differential equations
delay
oscillation criteria
author_facet Elmetwally M. Elabbasy
Belgees Qaraad
Thabet Abdeljawad
Osama Moaaz
author_sort Elmetwally M. Elabbasy
title Oscillation Criteria for a Class of Third-Order Damped Neutral Differential Equations
title_short Oscillation Criteria for a Class of Third-Order Damped Neutral Differential Equations
title_full Oscillation Criteria for a Class of Third-Order Damped Neutral Differential Equations
title_fullStr Oscillation Criteria for a Class of Third-Order Damped Neutral Differential Equations
title_full_unstemmed Oscillation Criteria for a Class of Third-Order Damped Neutral Differential Equations
title_sort oscillation criteria for a class of third-order damped neutral differential equations
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-12-01
description In this paper, we study the asymptotic and oscillatory properties of a certain class of third-order neutral delay differential equations with middle term. We obtain new characterizations of oscillation of the third-order neutral equation in terms of oscillation of a related, well-studied, second-order linear equation without damping. An Example is provided to illustrate the main results.
topic third-order differential equations
delay
oscillation criteria
url https://www.mdpi.com/2073-8994/12/12/1988
work_keys_str_mv AT elmetwallymelabbasy oscillationcriteriaforaclassofthirdorderdampedneutraldifferentialequations
AT belgeesqaraad oscillationcriteriaforaclassofthirdorderdampedneutraldifferentialequations
AT thabetabdeljawad oscillationcriteriaforaclassofthirdorderdampedneutraldifferentialequations
AT osamamoaaz oscillationcriteriaforaclassofthirdorderdampedneutraldifferentialequations
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