An application for an implicit function theorem of Craven and Nashed: continuum limits of lattice differential equations
type: Item
instance of: scholarly article
title: An application for an implicit function theorem of Craven and Nashed: continuum limits of lattice differential equations
zbMATH Open document ID: 1200.34009
author: Andreas Johann
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-05-10T00:00:00Z
review text: The author deals with the continuum limit of lattice differential equations and develop a technique to continuate traveling wave solutions of lattice differential equations from traveling wave solutions of the resulting partial differential equation. The main tool is the implicit function theorem for Hadamard differential functions given by Craven and Nashed.
Mathematics Subject Classification ID: 34A33
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 47J07
zbMATH DE Number: 5706209
zbMATH Keywords: lattice differential equations
zbMATH Keywords: continuum limit
zbMATH Keywords: implicit function theorem
zbMATH Keywords: traveling wave solution
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.01.043
OpenAlex ID: W2075029153
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DOI: 10.1016/J.JMAA.2010.01.043
description: scientific article; zbMATH DE number 5706209