Periodic impact behavior of a class of Hamiltonian oscillators with obstacles
type: Item
instance of: scholarly article
title: Periodic impact behavior of a class of Hamiltonian oscillators with obstacles
zbMATH Open document ID: 1192.34050
author: Qihuai Liu
author: Zhiguo Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-02-19T00:00:00Z
review text: The paper proves the existence of infinitely many periodic and subharmonic solutions of the equation \[ -x''=q(x)|x'|^2+g(t)x'+f(t) \] with an elastic impact condition in \(0\). The proof uses a change of variables which transform the equation into a new one with a superlinear nonlinearity, then the Poincaré-Birkhoff twist theorem in the version of Ding can be applied. Previous results by X. Wu are improved.
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 5673255
zbMATH Keywords: non-smooth Hamiltonian oscillators
zbMATH Keywords: periodic bouncing solutions
zbMATH Keywords: Poincaré-Birkhoff twist theorem
zbMATH Keywords: impact behavior
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.09.054
OpenAlex ID: W2108703294
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DOI: 10.1016/J.JMAA.2009.09.054
description: scientific article; zbMATH DE number 5673255