Boundedness for sublinear Duffing equations with time-dependent potentials
type: Item
instance of: scholarly article
title: Boundedness for sublinear Duffing equations with time-dependent potentials
zbMATH Open document ID: 1172.34026
published in: Journal of Differential Equations
publication date: 2009-06-10T00:00:00Z
review text: The author considers the sublinear second order differential equation with time-dependent potential: \[ \ddot {x} + e(t|x|^{\alpha-1}x= p(t), \tag{1} \] where \(0<\alpha<1\), \(p(t)\) and \(e(t)\) are smooth 1-periodic functions. A necessary and sufficient condition has been proved for the boundedness of all solutions of (1).
reviewed by: Cemil Tunç
Mathematics Subject Classification ID: 34C11
zbMATH DE Number: 5563785
zbMATH Keywords: sublinear equation
zbMATH Keywords: time-dependent potentials
zbMATH Keywords: boundedness of solutions
zbMATH Keywords: canonical transformation
zbMATH Keywords: Moser's Twist theorem
author: Yiqian Wang
MaRDI profile type: Publication
full work available at URL: j.jde.2008.12.024
OpenAlex ID: W2090183690
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DOI: 10.1016/J.JDE.2008.12.024
description: scientific article; zbMATH DE number 5563785