Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials

Detalhes bibliográficos
Autor(a) principal: Branquinho, Amílcar
Data de Publicação: 2010
Outros Autores: Barrios Rolania, Dolores, Foulquie Moreno, Ana Pilar
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/8427
Resumo: High-order non-symmetric difference operators with complex coefficients are considered. The correspondence between dynamics of the coefficients of the operator defined by a Lax pair and its resolvent function is established. The method of investigation is based on the analysis of the moments for the operator. The solution of a discrete dynamical system is studied. We give explicit expressions for the resolvent function and, under some conditions, the representation of the vector of functionals, associated with the solution for the integrable systems.
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spelling Dynamics and interpretation of some integrable systems via multiple orthogonal polynomialsOrthogonal polynomialsDifferential equationsRecurrence relationsHigh-order non-symmetric difference operators with complex coefficients are considered. The correspondence between dynamics of the coefficients of the operator defined by a Lax pair and its resolvent function is established. The method of investigation is based on the analysis of the moments for the operator. The solution of a discrete dynamical system is studied. We give explicit expressions for the resolvent function and, under some conditions, the representation of the vector of functionals, associated with the solution for the integrable systems.Elsevier2012-05-02T15:03:12Z2010-01-01T00:00:00Z2010info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/8427eng0022-247X10.1016/j.jmaa.2009.07.025Branquinho, AmílcarBarrios Rolania, DoloresFoulquie Moreno, Ana Pilarinfo: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:RCAAP2024-02-22T11:11:01Zoai:ria.ua.pt:10773/8427Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:44:30.404759Repositório 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 Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials
title Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials
spellingShingle Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials
Branquinho, Amílcar
Orthogonal polynomials
Differential equations
Recurrence relations
title_short Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials
title_full Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials
title_fullStr Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials
title_full_unstemmed Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials
title_sort Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials
author Branquinho, Amílcar
author_facet Branquinho, Amílcar
Barrios Rolania, Dolores
Foulquie Moreno, Ana Pilar
author_role author
author2 Barrios Rolania, Dolores
Foulquie Moreno, Ana Pilar
author2_role author
author
dc.contributor.author.fl_str_mv Branquinho, Amílcar
Barrios Rolania, Dolores
Foulquie Moreno, Ana Pilar
dc.subject.por.fl_str_mv Orthogonal polynomials
Differential equations
Recurrence relations
topic Orthogonal polynomials
Differential equations
Recurrence relations
description High-order non-symmetric difference operators with complex coefficients are considered. The correspondence between dynamics of the coefficients of the operator defined by a Lax pair and its resolvent function is established. The method of investigation is based on the analysis of the moments for the operator. The solution of a discrete dynamical system is studied. We give explicit expressions for the resolvent function and, under some conditions, the representation of the vector of functionals, associated with the solution for the integrable systems.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-01T00:00:00Z
2010
2012-05-02T15:03:12Z
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/10773/8427
url http://hdl.handle.net/10773/8427
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-247X
10.1016/j.jmaa.2009.07.025
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
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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
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