New Oscillation Criteria for Neutral Delay Differential Equations of Fourth-Order

New Oscillation Criteria for Neutral Delay Differential Equations of Fourth-Order

New oscillatory properties for the oscillation of solutions to a class of fourth-order delay differential equations with several deviating arguments are established, which extend and generalize related results in previous studies. Some oscillation results are established by using the Riccati techniq...

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Main Authors: Saeed Althubiti, Omar Bazighifan, Hammad Alotaibi, Jan Awrejcewicz
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Symmetry
Subjects:
fourth-order
delay differential equations
oscillation
Online Access:https://www.mdpi.com/2073-8994/13/7/1277
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spelling doaj-2c1026b6c2f847eea9241e33f9256d7d2021-07-23T14:09:31ZengMDPI AGSymmetry2073-89942021-07-01131277127710.3390/sym13071277New Oscillation Criteria for Neutral Delay Differential Equations of Fourth-OrderSaeed Althubiti0Omar Bazighifan1Hammad Alotaibi2Jan Awrejcewicz3Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaSection of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, ItalyDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski St., 90-924 Lodz, PolandNew oscillatory properties for the oscillation of solutions to a class of fourth-order delay differential equations with several deviating arguments are established, which extend and generalize related results in previous studies. Some oscillation results are established by using the Riccati technique under the case of canonical coefficients. The symmetry plays an important and fundamental role in the study of the oscillation of solutions of the equations. Examples are given to prove the significance of the new theorems.https://www.mdpi.com/2073-8994/13/7/1277fourth-orderdelay differential equationsoscillation
collection DOAJ
language English
format Article
sources DOAJ
author Saeed Althubiti
Omar Bazighifan
Hammad Alotaibi
Jan Awrejcewicz
spellingShingle Saeed Althubiti
Omar Bazighifan
Hammad Alotaibi
Jan Awrejcewicz
New Oscillation Criteria for Neutral Delay Differential Equations of Fourth-Order
Symmetry
fourth-order
delay differential equations
oscillation
author_facet Saeed Althubiti
Omar Bazighifan
Hammad Alotaibi
Jan Awrejcewicz
author_sort Saeed Althubiti
title New Oscillation Criteria for Neutral Delay Differential Equations of Fourth-Order
title_short New Oscillation Criteria for Neutral Delay Differential Equations of Fourth-Order
title_full New Oscillation Criteria for Neutral Delay Differential Equations of Fourth-Order
title_fullStr New Oscillation Criteria for Neutral Delay Differential Equations of Fourth-Order
title_full_unstemmed New Oscillation Criteria for Neutral Delay Differential Equations of Fourth-Order
title_sort new oscillation criteria for neutral delay differential equations of fourth-order
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2021-07-01
description New oscillatory properties for the oscillation of solutions to a class of fourth-order delay differential equations with several deviating arguments are established, which extend and generalize related results in previous studies. Some oscillation results are established by using the Riccati technique under the case of canonical coefficients. The symmetry plays an important and fundamental role in the study of the oscillation of solutions of the equations. Examples are given to prove the significance of the new theorems.
topic fourth-order
delay differential equations
oscillation
url https://www.mdpi.com/2073-8994/13/7/1277
work_keys_str_mv AT saeedalthubiti newoscillationcriteriaforneutraldelaydifferentialequationsoffourthorder
AT omarbazighifan newoscillationcriteriaforneutraldelaydifferentialequationsoffourthorder
AT hammadalotaibi newoscillationcriteriaforneutraldelaydifferentialequationsoffourthorder
AT janawrejcewicz newoscillationcriteriaforneutraldelaydifferentialequationsoffourthorder
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