The stability of the equilibrium of a conservative system
type: Item
instance of: scholarly article
title: The stability of the equilibrium of a conservative system
zbMATH Open document ID: 0873.34042
author: Bin Liu
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-11-06T00:00:00Z
review text: The generalized Hill's equation \(x''+a(t) x^{2n+1}+e(t,x)=0\) is studied, where \(a\) is continuous and 1-periodic, \(e\) is also 1-periodic in \(t\) and dominated by the power \(x^{2n+2}\) in a neighbourhood of the origin. Sufficient conditions in terms of \(\int_0^1 a\) are given for the stability of the zero solution.
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 930244
zbMATH Keywords: generalized Hill's equation
zbMATH Keywords: stability
reviewed by: László Hatvani
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0307
OpenAlex ID: W2016425954
DOI: 10.1006/JMAA.1996.0307
description: scientific article; zbMATH DE number 930244