Fite-Wintner-Leighton-type oscillation criteria for second-order differential equations with nonlinear damping
type: Item
instance of: scholarly article
title: Fite-Wintner-Leighton-type oscillation criteria for second-order differential equations with nonlinear damping
zbMATH Open document ID: 1308.34043
DOI: 10.1155/2013/852180
author: Mervan Pašić
published in: Abstract and Applied Analysis
publication date: 2013-05-08T00:00:00Z
review text: Summary: Some new oscillation criteria for a general class of second-order differential equations with nonlinear damping are shown. Except some general structural assumptions on the coefficients and nonlinear terms, we additionally assume only one sufficient condition (of Fite-Wintner-Leighton type). It is different compared to many early published papers which use rather complex sufficient conditions. Our method contains three items: classic Riccati transformations, a pointwise comparison principle, and a blow-up principle for sub- and supersolutions of a class of the generalized Riccati differential equations associated to any nonoscillatory solution of the main equation.
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 6161384
Wikidata QID: Q58917610
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/852180
OpenAlex ID: W2000025433
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description: scientific article; zbMATH DE number 6161384