Nonlinear Volterra integral equation of the second kind and biorthogonal systems
type: Item
instance of: scholarly article
title: Nonlinear Volterra integral equation of the second kind and biorthogonal systems
zbMATH Open document ID: 1198.65253
DOI: 10.1155/2010/135216
author: M. I. Berenguer
author: D. Gámez
author: M. C. Serrano Pérez
author: A. I. Garralda-Guillem
published in: Abstract and Applied Analysis
publication date: 2010-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/233289
review text: Summary: We obtain an approximation of the solution of the nonlinear Volterra integral equation of the second kind, by means of a new method for its numerical resolution. The main tools used to establish it are the properties of a biorthogonal system in a Banach space and the Banach fixed point theorem.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45N05
zbMATH DE Number: 5791603
zbMATH Keywords: nonlinear Volterra integral equation
zbMATH Keywords: second kind
zbMATH Keywords: biorthogonal system
zbMATH Keywords: Banach space
zbMATH Keywords: Banach fixed point theorem
Wikidata QID: Q58649746
MaRDI profile type: Publication
OpenAlex ID: W1991244590
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description: scientific article; zbMATH DE number 5791603