Some oscillation criteria for second order nonlinear ordinary differential equations with damping
type: Item
instance of: scholarly article
title: Some oscillation criteria for second order nonlinear ordinary differential equations with damping
zbMATH Open document ID: 0688.34022
author: Yutaka Nagabuchi
author: Minoru Yamamoto
published in: Proceedings of the Japan Academy. Series A
publication date: 1988-01-01T00:00:00Z
review text: The paper reports oscillation criteria for the equation \[ (r(t)x')'+p(t)x'+q(t)f(x)=0, \] \(t\in [0,\infty)\), r,p,q\(\in C[0,\infty)\), \(r(t)>0\). The analogous criteria were earlier obtained at \(f(x)=x\) by \textit{J. Yan} [(I) Proc. Am. Math. Soc. 90, 277-280 (1984; Zbl 0542.34028), and (II) ibid. 98, 276-282 (1986; Zbl 0622.34027)]. The results of the present paper are generalizations of two theorems from (I). The methods of proof are also similar.
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 4127644
zbMATH Keywords: oscillation criteria
reviewed by: Yuri S. Kivshar
MaRDI profile type: Publication
full work available at URL: pjaa.64.282
OpenAlex ID: W2086352245
cites work: Oscillation Theorems for Second Order Linear Differential Equations with Damping
cites work: A Note on an Oscillation Criterion for an Equation with Damped Term
cites work: A criterion of oscillatory stability
DOI: 10.3792/PJAA.64.282
description: scientific article; zbMATH DE number 4127644