Asymptotics and oscillation for first order neutral functional differential equations
type: Item
instance of: scholarly article
title: Asymptotics and oscillation for first order neutral functional differential equations
zbMATH Open document ID: 0805.34060
published in: Rocky Mountain Journal of Mathematics
publication date: 1994-09-27T00:00:00Z
review text: This paper deals with the first order linear neutral functional differential equation (1) \({d \over dt} [y(t) + py(t - \tau)] + qy (t - \sigma) = 0\), \(t \geq t_ 0\), where \(q \neq 0\); \(p,\tau\), \(\sigma \in R\). The authors study the asymptotic behaviour of nonoscillatory solutions of (1) under the following conditions: (2) \(p<0\) and \(q \tau<0\) or (3) \(p=1\), \(q<0\), \(\tau \neq 0\).
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 645247
zbMATH Keywords: first order linear neutral functional differential equation
zbMATH Keywords: asymptotic behaviour of nonoscillatory solutions
author: Ronald M. Mathsen
author: Yuantong Xu
author: Qiru Wang
reviewed by: Teodor-Dumitru Havarneanu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072461
OpenAlex ID: W1970658423
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DOI: 10.1216/RMJM/1181072461
description: scientific article; zbMATH DE number 645247