Second-order neutral differential equations: improved criteria for testing the oscillation
type: Item
instance of: scholarly article
title: Second-order neutral differential equations: improved criteria for testing the oscillation
zbMATH Open document ID: 1477.34094
DOI: 10.1155/2021/6665103
author: Osama Moaaz
author: Ali Muhib
author: Saud Owyed
author: Emad E. Mahmoud
author: Aml Abdelnaser
published in: Journal of Mathematics
publication date: 2021-06-23T00:00:00Z
review text: Summary: The main purpose of this study is to establish new improved conditions for testing the oscillation of solutions of second-order neutral differential equation \((r(l) (u'(l))^\gamma)' +q(l) x^\beta (\sigma (l))=0\), where \(l\geq l_0\) and \(u(l):=x(l)+ px(\varrho (l))\). By optimizing the commonly used relationship \(x>(1-p)u\), we obtain new criteria that give sharper results for oscillation than the previous related results. Moreover, we obtain criteria of an iterative nature. Our new results are illustrated by an example.
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 7362424
Wikidata QID: Q115243638
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6665103
OpenAlex ID: W3135392168
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description: scientific article; zbMATH DE number 7362424