A necessary and sufficient condition for oscillation of the generalized Liénard equation
type: Item
instance of: scholarly article
title: A necessary and sufficient condition for oscillation of the generalized Liénard equation
zbMATH Open document ID: 0711.34044
DOI: 10.1007/BF01790349
author: T. Hara
author: T. Yoneyama
author: Jitsuro Sugie
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1989-01-01T00:00:00Z
review text: A necessary and sufficient condition for oscillation of all continuable solutions to the Liénard system \(x'=y-F(x),\quad y'=-g(x),\) with F(x) and g(x) continuous functions satisfying locally a Lipschitz condition, is proved.
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 4169113
zbMATH Keywords: generalized Liénard equation
zbMATH Keywords: oscillation
zbMATH Keywords: Liénard system
MaRDI profile type: Publication
cites work: A Continuation Result for Differential Equations
cites work: On the generalized Lienard equation with forcing function
cites work: On the generalized Lienard equation with negative damping
cites work: Liapunov functions and boundedness and global existence of solutions
cites work: Q3710853
cites work: Continuation results for differential equations by two Liapunov functions
cites work: Necessary and Sufficient Conditions for the Continuability of Solutions of the System
cites work: Sur un théorème de A. Filippoff
cites work: Q5721333
cites work: Continuation results for differential equations without uniqueness by two Liapunov functions
cites work: Boundedness and periodicity of solutions of the generalized Liénard equation
cites work: On the qualitative behaviour of solutions of Liénard equation
description: scientific article; zbMATH DE number 4169113