Unboundedness in a Duffing equation with polynomial potentials
type: Item
instance of: scholarly article
title: Unboundedness in a Duffing equation with polynomial potentials
zbMATH Open document ID: 0947.34017
published in: Journal of Differential Equations
publication date: 2000-10-25T00:00:00Z
review text: In this paper, it is proved that there exists a periodic function \(p(t)\) such that the Duffing equation \(d^2x/dt^2+x^{2n+1}+p(t)x^{2n}=0\), with \(n\geq 2\), possesses a solution which escapes to infinity in finite time.
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 1419590
zbMATH Keywords: Duffing equation
zbMATH Keywords: unbounded solution
author: Yiqian Wang
reviewed by: Valeriy Yumaguzhin
MaRDI profile type: Publication
full work available at URL: jdeq.1999.3666
OpenAlex ID: W1982422725
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DOI: 10.1006/JDEQ.1999.3666
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description: scientific article; zbMATH DE number 1419590