Oscillation for higher order nonlinear delay differential equations
type: Item
instance of: scholarly article
title: Oscillation for higher order nonlinear delay differential equations
zbMATH Open document ID: 1072.34070
published in: Applied Mathematics and Computation
publication date: 2004-11-23T00:00:00Z
review text: The author proves that every solution of the super-linear \(n\)th-order neutral delay differential equation \[ [x(t)-px(t-T)]^{(n)} + Q(t)| x(t-\gamma )| ^{\alpha-1} x(t-\gamma)=0,\quad t\geq t_0, \] oscillates when \(0<p<1\) and \(\lim\limits_{t\rightarrow\infty} \inf[Q(t)\exp(-e^{\lambda t})]>0\), \(\lambda >0\), and \(n\geq 1\) is an odd integer.
reviewed by: R. S. Dahiya
Mathematics Subject Classification ID: 34K11
zbMATH DE Number: 2117991
zbMATH Keywords: Oscillation
zbMATH Keywords: Super-linear
zbMATH Keywords: Nonlinear
zbMATH Keywords: Neutral
zbMATH Keywords: Delay differential equation
author: Xiao Ping Wang
MaRDI profile type: Publication
full work available at URL: j.amc.2003.08.112
OpenAlex ID: W2004442124
cites work: Q4000352
cites work: Q4836479
cites work: Oscillation for first-order nonlinear delay differential equations
cites work: OSCILLATION FOR FIRST ORDER SUPERLINEAR DELAY DIFFERENTIAL EQUATIONS
DOI: 10.1016/J.AMC.2003.08.112
description: scientific article; zbMATH DE number 2117991