Interval oscillation criteria related to integral averaging technique for certain nonlinear differential equations
type: Item
instance of: scholarly article
title: Interval oscillation criteria related to integral averaging technique for certain nonlinear differential equations
zbMATH Open document ID: 0983.34020
author: Ravi P. Agarwal
author: Wan-Tong Li
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-05-08T00:00:00Z
review text: The authors consider the oscillation behavior of solutions to the second-order nonlinear differential equation \[ y''(t)+g(t)f(y(t))g(y'(t))=0,\quad t\geq t_0\in\mathbb{R}.\tag{1} \] Sufficient conditions for the solutions to (1) to be oscillatory are obtained. The authors give two examples to show that their results handle cases which are not covered by known results.
reviewed by: Sergei A. Mazanik
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34C29
zbMATH DE Number: 1449170
zbMATH Keywords: oscillation
zbMATH Keywords: interval criteria
zbMATH Keywords: nonlinear differential equation
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6749
OpenAlex ID: W2050983474
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DOI: 10.1006/JMAA.2000.6749
description: scientific article; zbMATH DE number 1449170