Eventually vanishing solutions of a forced Liénard system
type: Item
instance of: scholarly article
title: Eventually vanishing solutions of a forced Liénard system
zbMATH Open document ID: 1201.34078
author: Yongxin Zhang
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2010-01-04T00:00:00Z
review text: The author proves the existence of non-trivial eventually vanishing solutions, that is, solutions which tend together with their derivatives to \(0\) as \(t \rightarrow \pm \infty \), of the Liénard equation \[ x''+f(x)x' + g(x) = p(t). \] The method of proof consists of solving the periodic problem on larger and larger intervals for a sequence of approximating equations and proving the convergence of the so obtained sequence of periodic functions to a solution of the original equation having the desired property.
reviewed by: Pierpaolo Omari
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 5652425
zbMATH Keywords: Liénard equation
zbMATH Keywords: eventually vanishing solution
zbMATH Keywords: periodic solution
zbMATH Keywords: approximating problem
MaRDI profile type: Publication
full work available at URL: s10483-009-1013-6
OpenAlex ID: W1974136990
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DOI: 10.1007/S10483-009-1013-6
description: scientific article; zbMATH DE number 5652425