On q-Gevrey asymptotics for logarithmic type solutions in singularly perturbed q-difference-differential equations

A family of singularly perturbed q-difference-differential equations under the action of a small complex perturbation parameter is studied. The action of the formal monodromy around the origin is present in the equation, which suggests the construction of holomorphic solutions holding logarithmic te...

ver descrição completa

Detalhes bibliográficos
Autores: Lastra Sedano, Alberto|||0000-0002-4012-6471, Malek, Stephane
Tipo de documento: artigo
Data de publicação:2023
País:España
Recursos:Universidad de Alcalá (UAH)
Repositório:e_Buah Biblioteca Digital Universidad de Alcalá
Idioma:inglês
OAI Identifier:oai:ebuah.uah.es:10017/60267
Acesso em linha:http://hdl.handle.net/10017/60267
https://dx.doi.org/10.1007/s00208-023-02780-x
Access Level:Acceso aberto
Palavra-chave:q-Gevrey asymptotic expansions
Monodromy
logarithmic type solutions
Singularly perturbed
Formal solution
Matemáticas
Mathematics
id ES_4a20b733094a65bfc66bc2d08a42cf03
oai_identifier_str oai:ebuah.uah.es:10017/60267
network_acronym_str ES
network_name_str España
repository_id_str
spelling On q-Gevrey asymptotics for logarithmic type solutions in singularly perturbed q-difference-differential equationsLastra Sedano, Alberto|||0000-0002-4012-6471Malek, Stephaneq-Gevrey asymptotic expansionsMonodromylogarithmic type solutionsSingularly perturbedFormal solutionMatemáticasMathematicsA family of singularly perturbed q-difference-differential equations under the action of a small complex perturbation parameter is studied. The action of the formal monodromy around the origin is present in the equation, which suggests the construction of holomorphic solutions holding logarithmic terms in both, the formal and the analytic level. We provide both solutions and describe the asymptotic behavior relating them by means of q-Gevrey asymptotic expansions of some positive order, with respect to the perturbation parameter. On the way, the development of a space product of Banach spaces in the Borel plane is needed to provide a fixed point for a coupled system of equations.Agencia Estatal de InvestigaciónUniversidad de AlcaláSpringer20232023-12-2520232023-12-2520242024-12-25journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10017/60267https://dx.doi.org/10.1007/s00208-023-02780-xreponame:e_Buah Biblioteca Digital Universidad de Alcaláinstname:Universidad de Alcalá (UAH)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-105621GB-I00 METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOSUAH Not available CM-JIN-2021-014Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica, Técnica y de Innovación 2021-2023 TED2021-129813A-I00open accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:ebuah.uah.es:10017/602672026-06-18T11:13:07Z
dc.title.none.fl_str_mv On q-Gevrey asymptotics for logarithmic type solutions in singularly perturbed q-difference-differential equations
title On q-Gevrey asymptotics for logarithmic type solutions in singularly perturbed q-difference-differential equations
spellingShingle On q-Gevrey asymptotics for logarithmic type solutions in singularly perturbed q-difference-differential equations
Lastra Sedano, Alberto|||0000-0002-4012-6471
q-Gevrey asymptotic expansions
Monodromy
logarithmic type solutions
Singularly perturbed
Formal solution
Matemáticas
Mathematics
title_short On q-Gevrey asymptotics for logarithmic type solutions in singularly perturbed q-difference-differential equations
title_full On q-Gevrey asymptotics for logarithmic type solutions in singularly perturbed q-difference-differential equations
title_fullStr On q-Gevrey asymptotics for logarithmic type solutions in singularly perturbed q-difference-differential equations
title_full_unstemmed On q-Gevrey asymptotics for logarithmic type solutions in singularly perturbed q-difference-differential equations
title_sort On q-Gevrey asymptotics for logarithmic type solutions in singularly perturbed q-difference-differential equations
dc.creator.none.fl_str_mv Lastra Sedano, Alberto|||0000-0002-4012-6471
Malek, Stephane
author Lastra Sedano, Alberto|||0000-0002-4012-6471
author_facet Lastra Sedano, Alberto|||0000-0002-4012-6471
Malek, Stephane
author_role author
author2 Malek, Stephane
author2_role author
dc.subject.none.fl_str_mv q-Gevrey asymptotic expansions
Monodromy
logarithmic type solutions
Singularly perturbed
Formal solution
Matemáticas
Mathematics
topic q-Gevrey asymptotic expansions
Monodromy
logarithmic type solutions
Singularly perturbed
Formal solution
Matemáticas
Mathematics
description A family of singularly perturbed q-difference-differential equations under the action of a small complex perturbation parameter is studied. The action of the formal monodromy around the origin is present in the equation, which suggests the construction of holomorphic solutions holding logarithmic terms in both, the formal and the analytic level. We provide both solutions and describe the asymptotic behavior relating them by means of q-Gevrey asymptotic expansions of some positive order, with respect to the perturbation parameter. On the way, the development of a space product of Banach spaces in the Borel plane is needed to provide a fixed point for a coupled system of equations.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-12-25
2023
2023-12-25
2024
2024-12-25
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10017/60267
https://dx.doi.org/10.1007/s00208-023-02780-x
url http://hdl.handle.net/10017/60267
https://dx.doi.org/10.1007/s00208-023-02780-x
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-105621GB-I00 METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOS
UAH Not available CM-JIN-2021-014
Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica, Técnica y de Innovación 2021-2023 TED2021-129813A-I00
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:e_Buah Biblioteca Digital Universidad de Alcalá
instname:Universidad de Alcalá (UAH)
instname_str Universidad de Alcalá (UAH)
reponame_str e_Buah Biblioteca Digital Universidad de Alcalá
collection e_Buah Biblioteca Digital Universidad de Alcalá
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869407466744184832
score 15,812429

Registros relacionados