A note on general oscillation for delay differential equations
type: Item
instance of: scholarly article
title: A note on general oscillation for delay differential equations
zbMATH Open document ID: 0940.34055
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-07-19T00:00:00Z
review text: The authors study delay differential equations of the form \[ y'(t)+\sum_{j=1}^na_jy(t-\tau_j)=0\;(t>0), \quad y(t)=\Phi(t)\;(-\tau\leq t\leq 0), \] with \(a_j\in\mathbb{R}\setminus\{0\}\), \(\tau_j\geq 0\) \((j=1,2,\dots,n)\), \(\Phi\in C[-\tau,0]\), and \(\tau=\max_{1\leq j\leq n}\tau_j\). It is a continuation of the article of the same authors [J. Math. Anal. Appl. 223, No. 1, 288-301 (1998; Zbl 0908.34055)]. Here, the existence of linear delay differential equations whose solutions are neither generically oscillatory nor generically nonoscillatory is demonstrated.
Mathematics Subject Classification ID: 34K11
zbMATH DE Number: 1375020
zbMATH Keywords: oscillation theory
zbMATH Keywords: delay differential equations
zbMATH Keywords: solutions
author: Baruch Cahlon
author: Darrell Schmidt
reviewed by: Jan Ohriska
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6516
OpenAlex ID: W2038350568
cites work: Generic oscillations for delay differential equations
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cites work: Delay differential equations: with applications in population dynamics
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DOI: 10.1006/JMAA.1999.6516
description: scientific article; zbMATH DE number 1375020