Approximate solution of bisingular integro-differential equations
type: Item
instance of: scholarly article
title: Approximate solution of bisingular integro-differential equations
zbMATH Open document ID: 0782.45002
DOI: 10.4171/ZAA/613
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1993-10-13T00:00:00Z
review text: In the literature collocation and Galerkin methods have been used to obtain approximate solutions of bisingular integro-differential equations. In this paper the author develops a class of special para- algebras in a Banach algebra setting to reduce the problem of the applicability of collocation and Galerkin methods to the investigation of the invertibility of certain elements in a quotient para-algebra. He solves this problem by using a local principle for para-algebras which generalizes the well-known local principle of Gohberg-Krupnik.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45L05
Mathematics Subject Classification ID: 47L10
Mathematics Subject Classification ID: 46N20
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 428744
zbMATH Keywords: bisingular integro-differential equations
zbMATH Keywords: Banach algebra
zbMATH Keywords: collocation
zbMATH Keywords: Galerkin methods
zbMATH Keywords: quotient para-algebra
author: Victor D. Didenko
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/zaa/613
OpenAlex ID: W807298928
description: scientific article; zbMATH DE number 428744