Properties of analytic solution and numerical solution of multi-pantograph equation
type: Item
instance of: scholarly article
title: Properties of analytic solution and numerical solution of multi-pantograph equation
zbMATH Open document ID: 1059.65060
author: Dongsong Li
author: M. Z. Liu
published in: Applied Mathematics and Computation
publication date: 2004-10-13T00:00:00Z
review text: This paper contains the properties of analytical and numerical solutions of the multi-pantograph equation \(u'(t)=\lambda u(t)+\sum_{i=1}^l u_i u(q_i(t))\). The sufficient condition of the asymptotic stability, the existence and the uniqueness of the analytical solution of the above equation are obtained. Numerical examples are provided to show that the properties of the \(\theta\)-methods are asymptotically stable if \(\frac12<\theta\leq 1\).
reviewed by: R. S. Dahiya
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34K28
zbMATH DE Number: 2107384
zbMATH Keywords: multi-pantograph equation
zbMATH Keywords: asymptotic stability
zbMATH Keywords: numerical examples
zbMATH Keywords: theta-method
MaRDI profile type: Publication
full work available at URL: j.amc.2003.07.017
OpenAlex ID: W2085628012
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DOI: 10.1016/J.AMC.2003.07.017
description: scientific article; zbMATH DE number 2107384