Stability of one-leg \(\theta \)-methods for nonlinear neutral differential equations with proportional delay
type: Item
instance of: scholarly article
title: Stability of one-leg \(\theta \)-methods for nonlinear neutral differential equations with proportional delay
zbMATH Open document ID: 1172.65044
author: Tingting Qin
author: Wansheng Wang
author: Shoufu Li
published in: Applied Mathematics and Computation
publication date: 2009-07-01T00:00:00Z
review text: The authors establish interesting stability results on one-leg \(\theta\)-methods for neutral differential equations (NDEs) with constant delay and further for NDEs with proportional delay. To this end, the approach of transformation (TRA) is used, which allows to transform NDEs with proportional delay into NDEs with constant delay. Some sufficient conditions for global stability and asymptotic stability are provided. Two numerical examples of explanation are reported.
reviewed by: Raffaella Pavani
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34K28
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 5573831
zbMATH Keywords: neutral differential equations
zbMATH Keywords: nonlinear proportional delay differential equations
zbMATH Keywords: one-leg \(\theta \)-methods
zbMATH Keywords: numerical stability
zbMATH Keywords: asymptotic stability
zbMATH Keywords: approach of transformation [TRA]
zbMATH Keywords: global stability
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.amc.2009.03.010
OpenAlex ID: W2084354765
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DOI: 10.1016/J.AMC.2009.03.010
description: scientific article; zbMATH DE number 5573831