1896--1996: One hundred years of Volterra integral equations of the first kind
type: Item
instance of: scholarly article
title: 1896--1996: One hundred years of Volterra integral equations of the first kind
zbMATH Open document ID: 0879.45001
DOI: 10.1016/S0168-9274(97)00013-5
published in: Applied Numerical Mathematics
publication date: 1997-12-11T00:00:00Z
review text: The author reviews Vito Volterra's papers of 1896 on the inversion of integral equations of the first kind and then gives a glimpse at Volterra's life and times. Finally the author discusses some extensions and more recent developments in both the theory and numerical analysis of Volterra integral equations of the first kind.
Mathematics Subject Classification ID: 45-03
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 01A70
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 1036646
zbMATH Keywords: Vito Volterra
zbMATH Keywords: Volterra integral equation
zbMATH Keywords: first kind
author: H. Brunner
reviewed by: Gustaf Gripenberg
MaRDI profile type: Publication
cites work: Q3750978
cites work: Some properties of the functional equation \(\phi (x)=f(x)+\int _{O}^{\lambda x}g(x,y,\phi (y))dy\)
cites work: Q3997912
cites work: On Volterra's integral equation of the first kind
cites work: Q4873139
cites work: Q4744762
cites work: Resolvent Operators for Integral Equations in a Banach Space
cites work: Analytic resolvent operators for integral equations in Banach space
cites work: On Volterra equations of the first kind
cites work: Q4692887
cites work: On the Spline Collocation Method for the Single-Layer Heat Operator Equation
cites work: Q5683241
cites work: Q3965087
cites work: Q4276447
cites work: Q3258501
full work available at URL: s0168-9274(97)00013-5
OpenAlex ID: W2038297679
Wikidata QID: Q127203915
description: scientific article; zbMATH DE number 1036646