Oscillation of \(n\)th order strongly noncanonical delay differential equations
type: Item
instance of: scholarly article
title: Oscillation of \(n\)th order strongly noncanonical delay differential equations
zbMATH Open document ID: 1481.34084
author: J. Džurina
author: Irena Jadlovská
published in: Applied Mathematics Letters
publication date: 2021-03-04T00:00:00Z
review text: In this paper, the \(n\)th order delay differential equation \[ (r_{n-1}(t) (r_{n-2}(t) \cdots (r_1(t)y'(t))' \cdots )')' + p(t) y(\tau(t)) = 0, \quad t \ge t_0 \] is considered, where \(n \ge 2\), \(r_i \in C[t_0,\infty)\), \(r_i(t)>0\) for \(t\ge t_0\), \(\int_{t_0}^\infty 1/r_i(s)ds<\infty\) for \(i=1\), \(2\), \(\cdots\), \(n-1\), \(p \in C[t_0,\infty)\), \(p(t)>0\) for \(t\ge t_0\), \(\tau \in C[t_0,\infty)\), \(\tau(t)\le t\) for \(t\ge t_0\), and \(\tau(t)\to\infty\) as \(t\to\infty\). Sufficient conditions for every solution to be oscillatory are derived.
reviewed by: Satoshi Tanaka
Mathematics Subject Classification ID: 34K11
zbMATH DE Number: 7317512
zbMATH Keywords: canonical operator
zbMATH Keywords: higher-order differential equations
zbMATH Keywords: oscillation
MaRDI profile type: Publication
full work available at URL: j.aml.2020.106940
OpenAlex ID: W3112110627
Wikidata QID: Q115360737
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DOI: 10.1016/J.AML.2020.106940
description: scientific article; zbMATH DE number 7317512