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Initial value problems in linear integral operator equations

Bibliographic Details
Main Author: Castro, L.P.
Publication Date: 2014
Other Authors: Rodrigues, M.M., Saitoh, S.
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/16621
Summary: For some general linear integral operator equations, we investigate consequent initial value problems by using the theory of reproducing kernels. A new method is proposed which -- in particular -- generates a new field among initial value problems, linear integral operators, eigenfunctions and values, integral transforms and reproducing kernels. In particular, examples are worked out for the integral equations of Lalesco-Picard, Dixon and Tricomi types.
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spelling Initial value problems in linear integral operator equationsIntegral transformReproducing kernelIsometric mappingInversion formulaInitial value problemEigenfunctionEigenvalueFourier integral transformInverse problemLalesco-Picard equationDixon equationTricomi equationFor some general linear integral operator equations, we investigate consequent initial value problems by using the theory of reproducing kernels. A new method is proposed which -- in particular -- generates a new field among initial value problems, linear integral operators, eigenfunctions and values, integral transforms and reproducing kernels. In particular, examples are worked out for the integral equations of Lalesco-Picard, Dixon and Tricomi types.Springer International Publishing2017-01-10T10:50:35Z2014-07-11T00:00:00Z2014-07-11book partinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10773/16621eng978-3-319-06553-310.1007/978-3-319-06554-0_7Castro, L.P.Rodrigues, M.M.Saitoh, S.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T03:59:02Zoai:ria.ua.pt:10773/16621Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:53:28.699387Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Initial value problems in linear integral operator equations
title Initial value problems in linear integral operator equations
spellingShingle Initial value problems in linear integral operator equations
Castro, L.P.
Integral transform
Reproducing kernel
Isometric mapping
Inversion formula
Initial value problem
Eigenfunction
Eigenvalue
Fourier integral transform
Inverse problem
Lalesco-Picard equation
Dixon equation
Tricomi equation
title_short Initial value problems in linear integral operator equations
title_full Initial value problems in linear integral operator equations
title_fullStr Initial value problems in linear integral operator equations
title_full_unstemmed Initial value problems in linear integral operator equations
title_sort Initial value problems in linear integral operator equations
author Castro, L.P.
author_facet Castro, L.P.
Rodrigues, M.M.
Saitoh, S.
author_role author
author2 Rodrigues, M.M.
Saitoh, S.
author2_role author
author
dc.contributor.author.fl_str_mv Castro, L.P.
Rodrigues, M.M.
Saitoh, S.
dc.subject.por.fl_str_mv Integral transform
Reproducing kernel
Isometric mapping
Inversion formula
Initial value problem
Eigenfunction
Eigenvalue
Fourier integral transform
Inverse problem
Lalesco-Picard equation
Dixon equation
Tricomi equation
topic Integral transform
Reproducing kernel
Isometric mapping
Inversion formula
Initial value problem
Eigenfunction
Eigenvalue
Fourier integral transform
Inverse problem
Lalesco-Picard equation
Dixon equation
Tricomi equation
description For some general linear integral operator equations, we investigate consequent initial value problems by using the theory of reproducing kernels. A new method is proposed which -- in particular -- generates a new field among initial value problems, linear integral operators, eigenfunctions and values, integral transforms and reproducing kernels. In particular, examples are worked out for the integral equations of Lalesco-Picard, Dixon and Tricomi types.
publishDate 2014
dc.date.none.fl_str_mv 2014-07-11T00:00:00Z
2014-07-11
2017-01-10T10:50:35Z
dc.type.driver.fl_str_mv book part
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/16621
url http://hdl.handle.net/10773/16621
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 978-3-319-06553-3
10.1007/978-3-319-06554-0_7
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 Springer International Publishing
publisher.none.fl_str_mv Springer International Publishing
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833594167246192640

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