Note on Wong's paper
type: Item
instance of: scholarly article
title: Note on Wong's paper
zbMATH Open document ID: 1025.34030
DOI: 10.1016/S0022-247X(02)00297-4
author: Zhaowen Zheng
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: The author considers the second-order nonlinear differential equation with damping term \[ x''+p(t)x'+q(t)f(x)=0,\quad t\geq t_0, \] where \(p,q \in C[t_0, \infty)\) and are allowed to assume \(\int_{t_0}^\infty q(s) ds=-\infty\); \(f\in C^1(\mathbb{R})\), \(xf(x)>0\) whenever \(x\neq 0\) and satisfies \(f'(x)\geq \kappa>0\) for all \(x\in \mathbb{R}\). By employing the integral average technique, new interval oscillation criteria are obtained and they improve results due to \textit{James S. W. Wong} [J. Math. Anal. Appl. 258, 244-257 (2001; Zbl 0987.34024)]. The related results can be found in the paper of \textit{W.-T. Li} and \textit{R. P. Agarwal} [Comput. Math. Appl. 40, 217-230 (2000; Zbl 0959.34026)].
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 1866638
zbMATH Keywords: nonlinear differential equations
zbMATH Keywords: oscillation
zbMATH Keywords: interval criteria
reviewed by: Qiru Wang
MaRDI profile type: Publication
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full work available at URL: s0022-247x(02)00297-4
OpenAlex ID: W2122744497
description: scientific article; zbMATH DE number 1866638