Remarks on a paper of C. Huang.
type: Item
instance of: scholarly article
title: Remarks on a paper of C. Huang.
zbMATH Open document ID: 1046.34061
author: James S. W. Wong
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-03-14T00:00:00Z
review text: The author considers a second-order linear differential equation. By using the Lyapunov inequality, some new interval oscillation and nonoscillation criteria are obtained. The criteria depend on the local integrability of the coefficient in a finite interval not as usual on the half-line. The results extend and improve some well-known oscillation and nonoscillation results. A comparison with the results of Hill for oscillations of second-order linear equations also are given. These results are extended to second-order linear delay differential equations. To illustrate the main results, the author applies the results, to the Euler equation and proves that the results are sharp.
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34K11
zbMATH DE Number: 2056503
zbMATH Keywords: Ordinary and delay differential equations
zbMATH Keywords: oscillation
zbMATH Keywords: nonoscillation
zbMATH Keywords: delay equation
reviewed by: S. H. Saker
MaRDI profile type: Publication
full work available at URL: j.jmaa.2003.10.024
OpenAlex ID: W1966511163
cites work: Oscillation/nonoscillation criteria for linear second-order differential equations
cites work: Oscillation criteria for second-order linear differential equations
cites work: On the Oscillation of Differential Equations with an Oscillatory Coefficient
cites work: Q5330830
cites work: Non-Oscillation Theorems
cites work: Oscillation and nonoscillation of second order linear differential equations
cites work: Interval oscillation criteria related to integral averaging technique for certain nonlinear differential equations
cites work: Oscillation theorems for a second order delay differential equation
cites work: On the Non-Existence of Conjugate Points
cites work: On an inequality of Liapounoff
cites work: Oscillation and Nonoscillation of Solutions of Second Order Linear Differential Equations with Integrable Coefficients
cites work: Q4075268
cites work: Oscillatory property for second order linear delay differential equations
cites work: A note on ``Oscillation and nonoscillation for second-order linear differential equations''
DOI: 10.1016/J.JMAA.2003.10.024
description: scientific article; zbMATH DE number 2056503