On a q-analog of a singularly perturbed problem of irregular type with two complex time variables

The analytic solutions of a family of singularly perturbed q-difference-differential equations in the complex domain are constructed and studied from an asymptotic point of view with respect to the perturbation parameter. Two types of holomorphic solutions, the so-called inner and outer solutions, a...

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Detalles Bibliográficos
Autores: Lastra Sedano, Alberto|||0000-0002-4012-6471, Malek, Stephane
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad de Alcalá (UAH)
Repositorio:e_Buah Biblioteca Digital Universidad de Alcalá
Idioma:inglés
OAI Identifier:oai:ebuah.uah.es:10017/41509
Acceso en línea:http://hdl.handle.net/10017/41509
https://dx.doi.org/10.3390/math7100924
Access Level:acceso abierto
Palabra clave:Asymptotic expansion
Borel-Laplace transform
Fourier transform
Initial value problem
Formal power series
q-difference equation
Boundary layer
Singular perturbation
Matemáticas
Mathematics
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spelling On a q-analog of a singularly perturbed problem of irregular type with two complex time variablesLastra Sedano, Alberto|||0000-0002-4012-6471Malek, StephaneAsymptotic expansionBorel-Laplace transformFourier transformInitial value problemFormal power seriesq-difference equationBoundary layerSingular perturbationMatemáticasMathematicsThe analytic solutions of a family of singularly perturbed q-difference-differential equations in the complex domain are constructed and studied from an asymptotic point of view with respect to the perturbation parameter. Two types of holomorphic solutions, the so-called inner and outer solutions, are considered. Each of them holds a particular asymptotic relation with the formal ones in terms of asymptotic expansions in the perturbation parameter. The growth rate in the asymptotics leans on the --1-branch of Lambert W function, which turns out to be crucial.Ministerio de Economía y CompetitividadMDPI20192019-10-03journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10017/41509https://dx.doi.org/10.3390/math7100924reponame:e_Buah Biblioteca Digital Universidad de Alcaláinstname:Universidad de Alcalá (UAH)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 Not available MTM2016-77642-C2-1-P Algebra y geometría en sistemas dinámicos y foliaciones singularesopen 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:10017/415092026-06-18T11:13:07Z
dc.title.none.fl_str_mv On a q-analog of a singularly perturbed problem of irregular type with two complex time variables
title On a q-analog of a singularly perturbed problem of irregular type with two complex time variables
spellingShingle On a q-analog of a singularly perturbed problem of irregular type with two complex time variables
Lastra Sedano, Alberto|||0000-0002-4012-6471
Asymptotic expansion
Borel-Laplace transform
Fourier transform
Initial value problem
Formal power series
q-difference equation
Boundary layer
Singular perturbation
Matemáticas
Mathematics
title_short On a q-analog of a singularly perturbed problem of irregular type with two complex time variables
title_full On a q-analog of a singularly perturbed problem of irregular type with two complex time variables
title_fullStr On a q-analog of a singularly perturbed problem of irregular type with two complex time variables
title_full_unstemmed On a q-analog of a singularly perturbed problem of irregular type with two complex time variables
title_sort On a q-analog of a singularly perturbed problem of irregular type with two complex time variables
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 Asymptotic expansion
Borel-Laplace transform
Fourier transform
Initial value problem
Formal power series
q-difference equation
Boundary layer
Singular perturbation
Matemáticas
Mathematics
topic Asymptotic expansion
Borel-Laplace transform
Fourier transform
Initial value problem
Formal power series
q-difference equation
Boundary layer
Singular perturbation
Matemáticas
Mathematics
description The analytic solutions of a family of singularly perturbed q-difference-differential equations in the complex domain are constructed and studied from an asymptotic point of view with respect to the perturbation parameter. Two types of holomorphic solutions, the so-called inner and outer solutions, are considered. Each of them holds a particular asymptotic relation with the formal ones in terms of asymptotic expansions in the perturbation parameter. The growth rate in the asymptotics leans on the --1-branch of Lambert W function, which turns out to be crucial.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-10-03
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/10017/41509
https://dx.doi.org/10.3390/math7100924
url http://hdl.handle.net/10017/41509
https://dx.doi.org/10.3390/math7100924
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 Not available MTM2016-77642-C2-1-P Algebra y geometría en sistemas dinámicos y foliaciones singulares
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 MDPI
publisher.none.fl_str_mv MDPI
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
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