Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations

By establishing new conditions for the non-existence of so-called Kneser solutions, we can generate sufficient conditions to ensure that all solutions of odd-order equations are oscillatory. Our results improve and expand the previous results in the literature.

Bibliographic Details
Main Authors:	Osama Moaaz, Jan Awrejcewicz, Ali Muhib
Format:	Article
Language:	English
Published:	MDPI AG 2020-06-01
Series:	Mathematics
Subjects:	odd-order differential equations Kneser solutions oscillation criteria
Online Access:	https://www.mdpi.com/2227-7390/8/6/937

id	doaj-0f23498dd7fd4552bcd5ee55acc25f38
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spelling	doaj-0f23498dd7fd4552bcd5ee55acc25f382020-11-25T03:27:49ZengMDPI AGMathematics2227-73902020-06-01893793710.3390/math8060937Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential EquationsOsama Moaaz0Jan Awrejcewicz1Ali Muhib2Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski St., 90-924 Lodz, PolandDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptBy establishing new conditions for the non-existence of so-called Kneser solutions, we can generate sufficient conditions to ensure that all solutions of odd-order equations are oscillatory. Our results improve and expand the previous results in the literature.https://www.mdpi.com/2227-7390/8/6/937odd-order differential equationsKneser solutionsoscillation criteria
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Osama Moaaz Jan Awrejcewicz Ali Muhib
spellingShingle	Osama Moaaz Jan Awrejcewicz Ali Muhib Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations Mathematics odd-order differential equations Kneser solutions oscillation criteria
author_facet	Osama Moaaz Jan Awrejcewicz Ali Muhib
author_sort	Osama Moaaz
title	Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations
title_short	Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations
title_full	Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations
title_fullStr	Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations
title_full_unstemmed	Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations
title_sort	establishing new criteria for oscillation of odd-order nonlinear differential equations
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2020-06-01
description	By establishing new conditions for the non-existence of so-called Kneser solutions, we can generate sufficient conditions to ensure that all solutions of odd-order equations are oscillatory. Our results improve and expand the previous results in the literature.
topic	odd-order differential equations Kneser solutions oscillation criteria
url	https://www.mdpi.com/2227-7390/8/6/937
work_keys_str_mv	AT osamamoaaz establishingnewcriteriaforoscillationofoddordernonlineardifferentialequations AT janawrejcewicz establishingnewcriteriaforoscillationofoddordernonlineardifferentialequations AT alimuhib establishingnewcriteriaforoscillationofoddordernonlineardifferentialequations
_version_	1724586948771708928

Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations

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