Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case

Detalhes bibliográficos
Autor(a) principal: Castro, L. P.
Data de Publicação: 2015
Outros Autores: Rojas, E. M., Saitoh, S., Tuan, N. M., Tuan, P. D.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/13975
Resumo: By means of Riemann boundary value problems and of certain convenient systems of linear algebraic equations, this paper deals with the solvability of a class of singular integral equations with rotations and degenerate kernel within the case of a coefficient vanishing on the unit circle. All the possibilities about the index of the coefficients in the corresponding equations are considered and described in detail, and explicit formulas for their solutions are obtained. An example of application of the method is shown at the end of the last section.
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spelling Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient caseIntegral operatorSingular integral equationRiemann boundary value problemVanishing coefficientProjection methodSolvability theoryBy means of Riemann boundary value problems and of certain convenient systems of linear algebraic equations, this paper deals with the solvability of a class of singular integral equations with rotations and degenerate kernel within the case of a coefficient vanishing on the unit circle. All the possibilities about the index of the coefficients in the corresponding equations are considered and described in detail, and explicit formulas for their solutions are obtained. An example of application of the method is shown at the end of the last section.World Scientific Publishing2015-04-30T13:38:59Z2015-01-01T00:00:00Z2015-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/13975eng0219-530510.1142/S0219530514500468Castro, L. P.Rojas, E. M.Saitoh, S.Tuan, N. M.Tuan, P. D.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:25:23Zoai:ria.ua.pt:10773/13975Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:49:38.641788Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case
title Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case
spellingShingle Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case
Castro, L. P.
Integral operator
Singular integral equation
Riemann boundary value problem
Vanishing coefficient
Projection method
Solvability theory
title_short Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case
title_full Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case
title_fullStr Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case
title_full_unstemmed Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case
title_sort Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case
author Castro, L. P.
author_facet Castro, L. P.
Rojas, E. M.
Saitoh, S.
Tuan, N. M.
Tuan, P. D.
author_role author
author2 Rojas, E. M.
Saitoh, S.
Tuan, N. M.
Tuan, P. D.
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Castro, L. P.
Rojas, E. M.
Saitoh, S.
Tuan, N. M.
Tuan, P. D.
dc.subject.por.fl_str_mv Integral operator
Singular integral equation
Riemann boundary value problem
Vanishing coefficient
Projection method
Solvability theory
topic Integral operator
Singular integral equation
Riemann boundary value problem
Vanishing coefficient
Projection method
Solvability theory
description By means of Riemann boundary value problems and of certain convenient systems of linear algebraic equations, this paper deals with the solvability of a class of singular integral equations with rotations and degenerate kernel within the case of a coefficient vanishing on the unit circle. All the possibilities about the index of the coefficients in the corresponding equations are considered and described in detail, and explicit formulas for their solutions are obtained. An example of application of the method is shown at the end of the last section.
publishDate 2015
dc.date.none.fl_str_mv 2015-04-30T13:38:59Z
2015-01-01T00:00:00Z
2015-01-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/13975
url http://hdl.handle.net/10773/13975
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0219-5305
10.1142/S0219530514500468
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv World Scientific Publishing
publisher.none.fl_str_mv World Scientific Publishing
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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