Oscillation and asymptotic behavior for second-order nonlinear perturbed differential equations
type: Item
instance of: scholarly article
title: Oscillation and asymptotic behavior for second-order nonlinear perturbed differential equations
zbMATH Open document ID: 1079.34020
author: Ravi P. Agarwal
author: Qiru Wang
published in: Mathematical and Computer Modelling
publication date: 2005-02-22T00:00:00Z
review text: The authors deal with second-order perturbed differential equations of the form \[ [r(t)\psi(x(t))x'(t)]'+p(t)x'(t)+Q(t,x(t))=P(t,x(t),x'(t)). \] Using Riccati transformation and averaging technique, new oscillatory criteria are obtained. Criteria for the asymptotics of the forced equation are also established.
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34D10
zbMATH DE Number: 2137140
zbMATH Keywords: nonlinear
zbMATH Keywords: perturbed
zbMATH Keywords: oscillation
zbMATH Keywords: asymptotic behavior
reviewed by: J. Džurina
MaRDI profile type: Publication
full work available at URL: j.mcm.2004.07.007
OpenAlex ID: W2047900924
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DOI: 10.1016/J.MCM.2004.07.007
description: scientific article; zbMATH DE number 2137140