Linear integral equations of the third kind arising from neutron transport theory

The aim of this paper is to study, in the class of Hölder functions, linear integral equations with coefficients cos x having zeros in an interval under consideration. Using the theory of singular integral equations, necessary and sufficient conditions for the solvability of these equations under so...

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Vydáno v:Mathematical methods in the applied sciences Ročník 30; číslo 15; s. 1941 - 1964
Hlavní autor: Shulaia, D.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Chichester, UK John Wiley & Sons, Ltd 01.10.2007
Wiley
Teubner
Témata:
Exact sciences and technology
holomorphic function
Integral equations
limiting values
Mathematical analysis
Mathematics
Sciences and techniques of general use
Several complex variables and analytic spaces
singular operator
Transport equation
holomorphic function
singular operator
Linear equation
Necessary and sufficient condition
Applied mathematics
Singular equation
limiting values
Integral equation
Mathematical method
ISSN:0170-4214, 1099-1476
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Shrnutí:The aim of this paper is to study, in the class of Hölder functions, linear integral equations with coefficients cos x having zeros in an interval under consideration. Using the theory of singular integral equations, necessary and sufficient conditions for the solvability of these equations under some assumptions on their kernels are given. The kernels of transport equations satisfy the required assumptions. Copyright © 2007 John Wiley & Sons, Ltd.
Bibliografie:ark:/67375/WNG-9V46HP5C-F
istex:2A3D354B04D17EB3BB03E8C4BD53F941D232AA30
ArticleID:MMA882
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.882