Oscillation criteria for a certain even order neutral difference equation with an oscillating coefficient
type: Item
instance of: scholarly article
title: Oscillation criteria for a certain even order neutral difference equation with an oscillating coefficient
zbMATH Open document ID: 1169.39002
author: Yaşar Bolat
author: Ömer Akın
author: Huseyin Yildirim
published in: Applied Mathematics Letters
publication date: 2009-06-09T00:00:00Z
review text: Concerning the difference equation \[ \Delta^n[y(k)+p(k)y(\tau(k))] +q(k)y (\sigma(k))=0 \] conditions are given such that every bounded solution is either oscillatory or tending to zero as \(k\to\infty\).
reviewed by: Lothar Berg
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 5563172
zbMATH Keywords: linear difference equation
zbMATH Keywords: higher order difference equation
zbMATH Keywords: neutral difference equation
zbMATH Keywords: oscillating coefficient
zbMATH Keywords: bounded solutions
zbMATH Keywords: oscillations
zbMATH Keywords: convergence to zero
MaRDI profile type: Publication
full work available at URL: j.aml.2008.06.036
OpenAlex ID: W1989461079
cites work: On the existence of positive solutions of higher order difference equations
cites work: The oscillation of perturbed functional differential equations
cites work: Mathematics-teaching and research on the horns of a dilemma
cites work: Oscillatory behaviour of a higher-order nonlinear neutral type functional difference equation with oscillating coefficients.
cites work: Oscillation of higher-order linear difference equations
cites work: Q4000352
cites work: Q4000373
cites work: Sharp conditions for the oscillation of delay difference equations
cites work: Theory of difference equations: Numerical methods and applications
cites work: Oscillation of second-order linear difference equations
cites work: New results for oscillation of delay difference equations
cites work: Oscillations of difference equations with several delays.
DOI: 10.1016/J.AML.2008.06.036
Recommended article: Oscillation criteria for even order neutral difference equations
Recommended article: Q4465192
Recommended article: Q3061985
Recommended article: Q3189304
Recommended article: Oscillation criteria for even order nonlinear neutral difference equations
Recommended article: Q3170163
Recommended article: Oscillation criteria for even order neutral differential equations
Recommended article: Oscillation criteria for even-order neutral differential equations
Recommended article: Q4384845
description: scientific article; zbMATH DE number 5563172