The Lambert function on the solution of a delay differential equation

Bibliographic Details
Main Author: Brito, Paulo
Publication Date: 2011
Other Authors: Fabião, Maria de Fátima, St. Aubyn, António
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.5/30434
Summary: Recently, a new method for computing the analytical solution of a delay differential equation was developed considering a constant initial function. It is based on the existence of a specific class of polynomials in the delay. In this article, we extend this new method to the case of a continuous initial function. We also show the relationship between the new solution’s method and the solution expressed in terms of the Lambert function.
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spelling The Lambert function on the solution of a delay differential equationDelay Differential EquationLambert FunctionPolynomials in the DelayRecently, a new method for computing the analytical solution of a delay differential equation was developed considering a constant initial function. It is based on the existence of a specific class of polynomials in the delay. In this article, we extend this new method to the case of a continuous initial function. We also show the relationship between the new solution’s method and the solution expressed in terms of the Lambert function.Taylor & Francis GroupRepositório da Universidade de LisboaBrito, PauloFabião, Maria de FátimaSt. Aubyn, António2024-03-18T14:46:26Z20112011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.5/30434engBrito, Paulo; Maria de Fátima Fabião and António St. Aubyn .(2011). “The Lambert function on the solution of a delay differential equation”. Numerical Functional Analysis and Optimization, Volume 32, No. 11: pp. 1116–1126. (Search PDF in 2024).DOI: 10.1080/01630563.2011.589931532-2467info: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:RCAAP2025-03-17T16:23:54Zoai:repositorio.ulisboa.pt:10400.5/30434Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T04:12:36.793288Repositórios 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 The Lambert function on the solution of a delay differential equation
title The Lambert function on the solution of a delay differential equation
spellingShingle The Lambert function on the solution of a delay differential equation
Brito, Paulo
Delay Differential Equation
Lambert Function
Polynomials in the Delay
title_short The Lambert function on the solution of a delay differential equation
title_full The Lambert function on the solution of a delay differential equation
title_fullStr The Lambert function on the solution of a delay differential equation
title_full_unstemmed The Lambert function on the solution of a delay differential equation
title_sort The Lambert function on the solution of a delay differential equation
author Brito, Paulo
author_facet Brito, Paulo
Fabião, Maria de Fátima
St. Aubyn, António
author_role author
author2 Fabião, Maria de Fátima
St. Aubyn, António
author2_role author
author
dc.contributor.none.fl_str_mv Repositório da Universidade de Lisboa
dc.contributor.author.fl_str_mv Brito, Paulo
Fabião, Maria de Fátima
St. Aubyn, António
dc.subject.por.fl_str_mv Delay Differential Equation
Lambert Function
Polynomials in the Delay
topic Delay Differential Equation
Lambert Function
Polynomials in the Delay
description Recently, a new method for computing the analytical solution of a delay differential equation was developed considering a constant initial function. It is based on the existence of a specific class of polynomials in the delay. In this article, we extend this new method to the case of a continuous initial function. We also show the relationship between the new solution’s method and the solution expressed in terms of the Lambert function.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-01-01T00:00:00Z
2024-03-18T14:46:26Z
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/10400.5/30434
url http://hdl.handle.net/10400.5/30434
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Brito, Paulo; Maria de Fátima Fabião and António St. Aubyn .(2011). “The Lambert function on the solution of a delay differential equation”. Numerical Functional Analysis and Optimization, Volume 32, No. 11: pp. 1116–1126. (Search PDF in 2024).
DOI: 10.1080/01630563.2011.58993
1532-2467
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 Taylor & Francis Group
publisher.none.fl_str_mv Taylor & Francis Group
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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