Convergence of asymptotic systems in Cohen-Grossberg neural network models with unbounded delays

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dc.contributor.authorElmwafy, Ahmed
dc.contributor.authorOliveira, José J.
dc.contributor.authorSilva, César M.
dc.date.accessioned2025-11-19T15:25:41Z
dc.date.issued2026
dc.description.abstractIn this paper, we investigate the convergence of asymptotic systems in nonautonomous Cohen–Grossberg neural network models, which include both infinite discrete time-varying and distributed delays. We derive stability results under conditions where the non-delay terms asymptotically dominate the delay terms. Several examples and a numerical simulation are provided to illustrate the significance and novelty of the main result.eng
dc.description.sponsorshipThis work was partially supported by Fundação para a Ciência e a Tecnologia (Portugal) within the Project UID/00013/2025 of CMAT-UM (J.J. Oliveira), and Project UIDB/00212/2025 of CMA-UBI (A. Elmwafy and César M. Silva). The authors would like to express their sincere gratitude to the referees for their valuable comments and suggestions, which have improved the quality of this manuscript.
dc.distributioninternational
dc.identifier.articlenumber17
dc.identifier.citationElmwafy, A., Oliveira, J.J. & Silva, C.M. Convergence of asymptotic systems in Cohen–Grossberg neural network models with unbounded delays. Nonlinear Differ. Equ. Appl. 33, 17 (2026). https://doi.org/10.1007/s00030-025-01158-z
dc.identifier.doi10.1007/s00030-025-01158-z
dc.identifier.eissn1420-9004
dc.identifier.issn1021-9722
dc.identifier.urihttps://hdl.handle.net/1822/98188
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer
dc.relationCenter of Mathematics of the University of Minho [UIDB/00013/2020]
dc.relationCenter of Mathematics of the University of Minho [UIDP/00013/2020]
dc.relation.hasversionhttps://link.springer.com/article/10.1007/s00030-025-01158-z
dc.rightsopenAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/
dc.subjectCohen–Grossberg neural network
dc.subjectGlobal convergence
dc.subjectAsymptotic systems
dc.subjectInfinite discrete delay
dc.subjectInfinite distributed delay
dc.subject.fosCiências Naturais::Matemáticas
dc.subject.jelC: Mathematical and Quantitative Methods
dc.titleConvergence of asymptotic systems in Cohen-Grossberg neural network models with unbounded delayseng
dc.typearticle
dspace.entity.typePublication
oaire.awardNumberUIDB/00013/2020
oaire.awardNumberUIDP/00013/2020
oaire.awardTitleCenter of Mathematics of the University of Minho [UIDB/00013/2020]
oaire.awardTitleCenter of Mathematics of the University of Minho [UIDP/00013/2020]
oaire.awardURIhttps://hdl.handle.net/1822/97170
oaire.awardURIhttps://hdl.handle.net/1822/97173
oaire.citation.volume33
oaire.funderIdentifierhttp://doi.org/10.13039/501100001871
oaire.funderIdentifierhttp://doi.org/10.13039/501100001871
oaire.funderNameFundação para a Ciência e a Tecnologia, I.P.
oaire.funderNameFundação para a Ciência e a Tecnologia, I.P.
oaire.fundingStreamConcurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017/2018) - Financiamento Base
oaire.fundingStreamConcurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017/2018) - Financiamento Programático
oaire.versionhttp://purl.org/coar/version/c_ab4af688f83e57aa
relation.isProjectOfPublicationd356bda5-c0fd-49c6-a7e3-7e84650a14be
relation.isProjectOfPublication60f179b0-39e5-4f5d-ab76-eb6b26f2822e
relation.isProjectOfPublication.latestForDiscoveryd356bda5-c0fd-49c6-a7e3-7e84650a14be
sdum.journalNonlinear Differential Equations and Applications (NoDEA)

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