Oscillation of neutral differential equations with distributed deviating arguments
type: Item
instance of: scholarly article
title: Oscillation of neutral differential equations with distributed deviating arguments
zbMATH Open document ID: 1270.34172
author: Özkan Öcalan
author: T. Candan
author: Basak Karpuz
published in: Journal of Mathematical Sciences (New York)
publication date: 2013-04-24T00:00:00Z
full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/175583
review text: The authors consider the neutral differential equation with distributed deviating arguments \[ [x(t)-R(t)x(t-\rho)]'+\int_{\tau_1}^{\tau_2}[P(t,\zeta)x(t-\zeta)- Q(t,\zeta)x(t-\zeta+\sigma)]d\zeta=0\quad\text{ for }t\geq t_0,\tag{1} \] where \(R\in C([t_0,\infty),\mathbb R_0^{+})\) and \(P,Q\in C([t_0,\infty)\times[\tau_1,\tau_2],\mathbb R_0^{+})\). The main results of the paper are three sufficient conditions for equation (1) to be oscillatory, accompanied by some corollaries and examples.
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 6157081
zbMATH Keywords: oscillation theory
zbMATH Keywords: neutral differential equation
zbMATH Keywords: distributed deviating argument
reviewed by: Jan Ohriska
MaRDI profile type: Publication
OpenAlex ID: W2069136182
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DOI: 10.1007/S10958-012-1075-X
description: scientific article; zbMATH DE number 6157081