Working with differential, functional and difference equations using functional networks
type: Item
instance of: scholarly article
title: Working with differential, functional and difference equations using functional networks
zbMATH Open document ID: 0944.65136
DOI: 10.1016/S0307-904X(98)10074-4
author: Angel Cobo
author: José Manuel Gutiérrez
author: Eva Pruneda
author: Enrique Castillo
published in: Applied Mathematical Modelling
publication date: 2000-09-14T00:00:00Z
review text: The problem of equivalence of differential, functional and difference equations is investigated. The authors offer the next scheme of the relations between the above equations that can be described by the following diagram: differential; functional; difference; differential. The notion of functional network is introduced as an alternative to neural networks. Functional networks are used for approximation of functional and difference equations, and a method for estimation of the coefficients of these equation is given. Some examples of applications are given to illustrate the method.
Mathematics Subject Classification ID: 65Q05
zbMATH DE Number: 1342608
zbMATH Keywords: functional networks
zbMATH Keywords: functional equations
zbMATH Keywords: difference equations
zbMATH Keywords: differential equations
zbMATH Keywords: neural networks
MaRDI profile type: Publication
cites work: Q4857377
cites work: Q3996272
cites work: Q3137297
cites work: Self-organization and associative memory
description: scientific article; zbMATH DE number 1342608