A note on the boundedness of the solution of the nonlinear oscillating equation
type: Item
instance of: scholarly article
title: A note on the boundedness of the solution of the nonlinear oscillating equation
zbMATH Open document ID: 0830.34030
author: Chaojie Liu
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-09-26T00:00:00Z
review text: \textit{Y. Zhou} [ibid. 164, No. 1, 9-20 (1992; Zbl 0753.34022)] established a ``necessary and sufficient condition'' for the boundedness of the solutions of the system \(\dot x= y\), \(\dot y= -f(x) h(y) y- g(x) k(y)\). The author points out that Lemma 1 of Zhou's paper is not correct, and presents a counterexample.
Mathematics Subject Classification ID: 34C11
zbMATH DE Number: 801008
zbMATH Keywords: boundedness
zbMATH Keywords: counterexample
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1137
OpenAlex ID: W2009180937
DOI: 10.1006/JMAA.1995.1137
description: scientific article; zbMATH DE number 801008