Oscillation for third-order nonlinear differential equations with deviating argument
type: Item
instance of: scholarly article
title: Oscillation for third-order nonlinear differential equations with deviating argument
zbMATH Open document ID: 1192.34073
DOI: 10.1155/2010/278962
author: Miroslav Bartušek
author: M. Cecchi
author: Zuzana Došlá
author: Mauro Marini
published in: Abstract and Applied Analysis
publication date: 2010-04-08T00:00:00Z
review text: Summary: We study necessary and sufficient conditions for the oscillation of the third-order nonlinear ordinary differential equation with damping term and deviating argument \[ x'''(t)+q(t)x'(t)+r(t)f(x(\varphi(t)))=0. \] Motivated by the work of \textit{I. T. Kiguradze} [Differ. Uravn. 28, No. 2, 207--219 (1992; Zbl 0768.34018)], the existence and asymptotic properties of nonoscillatory solutions are investigated in case when the differential operator \({\mathcal L}x=x'''+q(t)x'\) is oscillatory.
Mathematics Subject Classification ID: 34K11
zbMATH DE Number: 5690921
Wikidata QID: Q58649805
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2010/278962
OpenAlex ID: W2012067358
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description: scientific article; zbMATH DE number 5690921