Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation.

[EN]This study aims at offering a new criterion for the oscillation of the solutions of Emden–Fowler second-order neutral differential equations. The approach used presents a non-traditional Riccati substitution and takes into account all the delay functions, which had been neglected in previous ana...

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Autores: Moaaz, Osama, Ramos Calle, Higinio, Awrejcewicz, Jan
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/156714
Acceso en línea:http://hdl.handle.net/10366/156714
Access Level:acceso abierto
Palabra clave:An improved criterion
Neutral differential equations
Second-order
Nonstandard Riccati substitution
12 Matemáticas
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spelling Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation.Moaaz, OsamaRamos Calle, HiginioAwrejcewicz, JanAn improved criterionNeutral differential equationsSecond-orderNonstandard Riccati substitution12 Matemáticas[EN]This study aims at offering a new criterion for the oscillation of the solutions of Emden–Fowler second-order neutral differential equations. The approach used presents a non-traditional Riccati substitution and takes into account all the delay functions, which had been neglected in previous analyses. The new results essentially improve and simplify some well-known results reported in the literature. Furthermore, the new criterion provides precise results in the ordinary case (e.g. Euler-type equations), whereas the existing results fail in this case.Publicación en abierto financiada por la Universidad de Salamanca como participante en el Acuerdo Transformativo CRUE-CSIC con Elsevier, 2021-2024Elsevier202420242021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10366/156714reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1567142026-06-07T06:28:51Z
dc.title.none.fl_str_mv Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation.
title Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation.
spellingShingle Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation.
Moaaz, Osama
An improved criterion
Neutral differential equations
Second-order
Nonstandard Riccati substitution
12 Matemáticas
title_short Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation.
title_full Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation.
title_fullStr Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation.
title_full_unstemmed Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation.
title_sort Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation.
dc.creator.none.fl_str_mv Moaaz, Osama
Ramos Calle, Higinio
Awrejcewicz, Jan
author Moaaz, Osama
author_facet Moaaz, Osama
Ramos Calle, Higinio
Awrejcewicz, Jan
author_role author
author2 Ramos Calle, Higinio
Awrejcewicz, Jan
author2_role author
author
dc.subject.none.fl_str_mv An improved criterion
Neutral differential equations
Second-order
Nonstandard Riccati substitution
12 Matemáticas
topic An improved criterion
Neutral differential equations
Second-order
Nonstandard Riccati substitution
12 Matemáticas
description [EN]This study aims at offering a new criterion for the oscillation of the solutions of Emden–Fowler second-order neutral differential equations. The approach used presents a non-traditional Riccati substitution and takes into account all the delay functions, which had been neglected in previous analyses. The new results essentially improve and simplify some well-known results reported in the literature. Furthermore, the new criterion provides precise results in the ordinary case (e.g. Euler-type equations), whereas the existing results fail in this case.
publishDate 2021
dc.date.none.fl_str_mv 2021
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/156714
url http://hdl.handle.net/10366/156714
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869404235267833856
score 15,301603

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