Boundary value problems for integro-differential equations of Barbashin type
type: Item
instance of: scholarly article
title: Boundary value problems for integro-differential equations of Barbashin type
zbMATH Open document ID: 0808.45012
author: Jürgen Appell
author: A. S. Kalitvin
author: Peter P. Zabreĭko
published in: Journal of Integral Equations and Applications
publication date: 1994-12-08T00:00:00Z
review text: The solvability of linear integro-differential equations of Barbashin type subject to appropriate boundary conditions is considered. A transformation of such equations to linear two-dimensional integral equations of the second kind is given. Applying a general fixed point principle in \(K\)-normed spaces general existence results are established. The considerations are illustrated by an application to the problem of radiation propagation in physical systems.
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 700376
zbMATH Keywords: \(K\)-normed spaces
zbMATH Keywords: solvability
zbMATH Keywords: linear integro-differential equations of Barbashin type
zbMATH Keywords: fixed point principle
zbMATH Keywords: existence
zbMATH Keywords: radiation propagation
reviewed by: Izabela Foltyńska
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/jiea/1181075787
OpenAlex ID: W2048557018
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DOI: 10.1216/JIEA/1181075787
description: scientific article; zbMATH DE number 700376