Volterra integro-differential equations and infinite systems of ordinary differential equations
type: Item
instance of: scholarly article
title: Volterra integro-differential equations and infinite systems of ordinary differential equations
zbMATH Open document ID: 1087.45002
author: N. E. Zubov
published in: Mathematical and Computer Modelling
publication date: 2006-02-16T00:00:00Z
review text: The authors develop the reduction method to establish a duality between finite-dimensional systems of integro-differential equations with the Hilbert-Schmidt kernel and countable systems of ordinary differential equations. This allows the use of known results for the countable systems of differential equations to study the properties of solutions of integro-differential equations.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45G15
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 5006994
zbMATH Keywords: Volterra integro-differential equations
zbMATH Keywords: infinite systems of ordinary differential equations
zbMATH Keywords: reduction method
zbMATH Keywords: systems
zbMATH Keywords: Hilbert-Schmidt kernel
reviewed by: V. Lakshmikantham
MaRDI profile type: Publication
full work available at URL: j.mcm.2004.01.014
OpenAlex ID: W2019465742
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DOI: 10.1016/J.MCM.2004.01.014
description: scientific article; zbMATH DE number 5006994