Application of orthogonality relations to singular integral equations
type: Item
instance of: scholarly article
title: Application of orthogonality relations to singular integral equations
zbMATH Open document ID: 0706.45001
DOI: 10.1216/JIE-1990-2-2-185
published in: Journal of Integral Equations and Applications
publication date: 1990-01-01T00:00:00Z
review text: Singular integral equations with Cauchy type kernels are considered on a real interval. A generalization of partial range orthogonality relations of neutron transport theory is used to generate solutions without the standard methods of Riemann-Hilbert boundary value problems. The equation has been studied by \textit{N. I. Muskhelishvili} [Singular integral equations (1953; Zbl 0051.332)] and by \textit{F. D. Gakhov} [Boundary value problems (1966; Zbl 0141.080)].
Mathematics Subject Classification ID: 45E05
zbMATH DE Number: 4159375
zbMATH Keywords: Singular integral equations
zbMATH Keywords: Cauchy type kernels
zbMATH Keywords: range orthogonality relations
zbMATH Keywords: neutron transport theory
zbMATH Keywords: Riemann-Hilbert boundary value problems
author: C. van der Mee
author: Paul F. Zweifel
reviewed by: Jorge Bustamante
MaRDI profile type: Publication
full work available at URL: jie-1990-2-2-185
OpenAlex ID: W2011257336
description: scientific article; zbMATH DE number 4159375