A tree combinatorial structure on the solution of a delay differential equation: a generating function approach

Detalhes bibliográficos
Autor(a) principal: Fabião, Maria de Fátima
Data de Publicação: 2008
Outros Autores: Brito, Paulo, St. Aubyn, António
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/10400.5/30455
Resumo: This paper introduces a new approach for obtaining explicit solutions for a first order linear delay differential equation with constant coefficients. We conjecture that there is a generating function defined over of a specific class of polynomials in the delay that solves the equation, and prove in the main theorem that the conjecture is valid. We also show the advantage of our method as regards the traditional Method of Step Algorithm (MSA).
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spelling A tree combinatorial structure on the solution of a delay differential equation: a generating function approachDelay Differential EquationsMethod Step AlgorithmGenerating FunctionsThis paper introduces a new approach for obtaining explicit solutions for a first order linear delay differential equation with constant coefficients. We conjecture that there is a generating function defined over of a specific class of polynomials in the delay that solves the equation, and prove in the main theorem that the conjecture is valid. We also show the advantage of our method as regards the traditional Method of Step Algorithm (MSA).AIP PublishingRepositório da Universidade de LisboaFabião, Maria de FátimaBrito, PauloSt. Aubyn, António2024-03-20T09:11:36Z20082008-01-01T00:00:00Zconference objectinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10400.5/30455engFabião, Maria de Fátima; Paulo Brito and António St. Aubyn .(2008). “A tree combinatorial structure on the solution of a delay differential equation : a generating function approach”. AIP Conference Proceedings, 16–20 September 2008. Psalidi, Kos – Greece .(Search PDF in 2024).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:RCAAP2025-03-17T16:21:02Zoai:repositorio.ulisboa.pt:10400.5/30455Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T04:10:59.879254Repositórios 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 A tree combinatorial structure on the solution of a delay differential equation: a generating function approach
title A tree combinatorial structure on the solution of a delay differential equation: a generating function approach
spellingShingle A tree combinatorial structure on the solution of a delay differential equation: a generating function approach
Fabião, Maria de Fátima
Delay Differential Equations
Method Step Algorithm
Generating Functions
title_short A tree combinatorial structure on the solution of a delay differential equation: a generating function approach
title_full A tree combinatorial structure on the solution of a delay differential equation: a generating function approach
title_fullStr A tree combinatorial structure on the solution of a delay differential equation: a generating function approach
title_full_unstemmed A tree combinatorial structure on the solution of a delay differential equation: a generating function approach
title_sort A tree combinatorial structure on the solution of a delay differential equation: a generating function approach
author Fabião, Maria de Fátima
author_facet Fabião, Maria de Fátima
Brito, Paulo
St. Aubyn, António
author_role author
author2 Brito, Paulo
St. Aubyn, António
author2_role author
author
dc.contributor.none.fl_str_mv Repositório da Universidade de Lisboa
dc.contributor.author.fl_str_mv Fabião, Maria de Fátima
Brito, Paulo
St. Aubyn, António
dc.subject.por.fl_str_mv Delay Differential Equations
Method Step Algorithm
Generating Functions
topic Delay Differential Equations
Method Step Algorithm
Generating Functions
description This paper introduces a new approach for obtaining explicit solutions for a first order linear delay differential equation with constant coefficients. We conjecture that there is a generating function defined over of a specific class of polynomials in the delay that solves the equation, and prove in the main theorem that the conjecture is valid. We also show the advantage of our method as regards the traditional Method of Step Algorithm (MSA).
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-01-01T00:00:00Z
2024-03-20T09:11:36Z
dc.type.driver.fl_str_mv conference object
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.5/30455
url http://hdl.handle.net/10400.5/30455
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Fabião, Maria de Fátima; Paulo Brito and António St. Aubyn .(2008). “A tree combinatorial structure on the solution of a delay differential equation : a generating function approach”. AIP Conference Proceedings, 16–20 September 2008. Psalidi, Kos – Greece .(Search PDF in 2024).
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 AIP Publishing
publisher.none.fl_str_mv AIP 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
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