Continuability and (non-) oscillatory properties of solutions of generalized Liénard equation
type: Item
instance of: scholarly article
title: Continuability and (non-) oscillatory properties of solutions of generalized Liénard equation
zbMATH Open document ID: 0713.34041
author: Daniela Hricišáková
published in: Hiroshima Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: The paper deals with the equation (1) \(x''+f(x)x'+g(x)=0\) where f and g are continuous on R and \(xf(x)>0\), \(xg(x)>0\) for all \(x\neq 0\). There are treated the problems of continuability of the solutions, the properties of (ultimately) positive and negative solutions, the nonexistence of such solutions and consequently there are stated sufficient conditions for the oscillation of all solutions existing in a neighbourhood of \(t=\infty\). The problem of the existence of ultimately positive (negtive) solutions of (1) will be discussed in the papers which are prepared to be published.
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4173418
zbMATH Keywords: ultimately positive solution
zbMATH Keywords: Liénard equation
zbMATH Keywords: continuability
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4173418