Existence theorems for some quadratic integral equations
type: Item
instance of: scholarly article
title: Existence theorems for some quadratic integral equations
zbMATH Open document ID: 0913.45001
author: Millenia Lecko
author: Wagdy Gomaa El-Sayed
author: Józef Banaś
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-11-01T00:00:00Z
review text: The considered quadratic integral equations arise in the theories of radiative transfer and neutron transport and in the kinetic theory of gases. The theory of measures of noncompactness is used to prove few existence theorems for some quadratic integral equations. The theory is illustrated by two examples.
Mathematics Subject Classification ID: 45G05
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 85A25
Mathematics Subject Classification ID: 82C70
Mathematics Subject Classification ID: 82B40
zbMATH DE Number: 1217015
zbMATH Keywords: quadratic integral equations
zbMATH Keywords: radiative transfer
zbMATH Keywords: neutron transport
zbMATH Keywords: kinetic theory of gases
zbMATH Keywords: measures of noncompactness
zbMATH Keywords: existence
Wikidata QID: Q59108719
reviewed by: Lechoslaw Hącia
MaRDI profile type: Publication
full work available at URL: jmaa.1998.5941
OpenAlex ID: W1964761484
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DOI: 10.1006/JMAA.1998.5941
description: scientific article; zbMATH DE number 1217015