Necessary and sufficient conditions for boundedness and oscillation in the retarded Liénard equation
type: Item
instance of: scholarly article
title: Necessary and sufficient conditions for boundedness and oscillation in the retarded Liénard equation
zbMATH Open document ID: 0855.34090
author: Bo Zhang
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-02-16T00:00:00Z
review text: The retarded Liénard equation (1) \(x'' + f(x)x' + g(x(t - h)) = 0\) with continuous \(f\), \(g : \mathbb{R} \to \mathbb{R}\), \(h = \text{const} \geq 0\) is considered. Necessary and sufficient conditions of boundedness and oscillation of solutions to (1) are demonstrated. This result is compared with earlier ones obtained by Burton, Graef, Sansone, Conti, Villari for (1) with \(h = 0\).
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 897965
zbMATH Keywords: retarded Liénard equation
zbMATH Keywords: boundedness
zbMATH Keywords: oscillation
reviewed by: Tadeusz Dłotko
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0216
OpenAlex ID: W1984189630
DOI: 10.1006/JMAA.1996.0216
description: scientific article; zbMATH DE number 897965