Existence and uniqueness of the periodic orbits of a class of cylinder equations
type: Item
instance of: scholarly article
title: Existence and uniqueness of the periodic orbits of a class of cylinder equations
zbMATH Open document ID: 0848.34018
author: Katie Jiang
author: Maoan Han
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-08-05T00:00:00Z
review text: The author considers the Liénard equation (1) \(\ddot x + f(x) \dot x + g(x) = 0\) on a cylinder, i.e., he assumes the functions \(f\), \(g\) to be \(2 \pi\)-periodic in \(x\). He investigates the global behavior of the solutions of (1) and obtains certain sufficient conditions for existence and uniqueness of periodic orbits.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C40
zbMATH DE Number: 894221
zbMATH Keywords: Liénard equation
zbMATH Keywords: cylinder
zbMATH Keywords: global behavior
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: periodic orbits
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0193
OpenAlex ID: W2043527361
DOI: 10.1006/JMAA.1996.0193
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description: scientific article; zbMATH DE number 894221