Positively homogeneous Hamiltonian systems in the plane
type: Item
instance of: scholarly article
title: Positively homogeneous Hamiltonian systems in the plane
zbMATH Open document ID: 1068.34035
author: Alessandro Fonda
published in: Journal of Differential Equations
publication date: 2004-10-01T00:00:00Z
review text: The author studies positively homogeneous Hamiltonian systems in the plane. He tries to generalize some classical results of a scalar second-order differential equation to the case under consideration. In particular, he gives some sufficient conditions for the existence and multiplicity of periodic solutions, quasi-periodic solutions as well as boundedness of solutions. These results have been obtained by several authors in the case of scalar second-order differential equations.
reviewed by: Bin Liu
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C27
zbMATH DE Number: 2104509
zbMATH Keywords: periodic solutions
zbMATH Keywords: bounded and unbounded solutions
zbMATH Keywords: Hamiltonian systems
MaRDI profile type: Publication
full work available at URL: j.jde.2004.02.001
OpenAlex ID: W1982564402
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DOI: 10.1016/J.JDE.2004.02.001
description: scientific article; zbMATH DE number 2104509