(ω, Q) -periodic mild solutions for a class of semilinear abstract differential equations and applications to Hopfield-type neural network model

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dc.creatorAlvarez, E.
dc.creatorDíaz, S.
dc.creatorGrau, R.
dc.date2023-08-10T21:58:23Z
dc.date2024
dc.date2023-08-10T21:58:23Z
dc.date2023
dc.date.accessioned2023-11-22T13:53:51Z
dc.date.available2023-11-22T13:53:51Z
dc.descriptionIn this paper, we investigate the existence and uniqueness of (ω, Q) -periodic mild solutions for the following problem x′(t)=Ax(t)+f(t,x(t)), t∈R, on a Banach space X. Here, A is a closed linear operator which generates an exponentially stable C-semigroup and the nonlinearity f satisfies suitable properties. The approaches are based on the well-known Banach contraction principle. In addition, a sufficient criterion is established for the existence and uniqueness of (ω, Q) -periodic mild solutions to the Hopfield-type neural network model.
dc.format1 página
dc.formatapplication/pdf
dc.formatapplication/pdf
dc.identifier0044-2275
dc.identifierhttps://hdl.handle.net/11323/10375
dc.identifier10.1007/s00033-023-01943-9
dc.identifier1420-9039
dc.identifierCorporación Universidad de la Costa
dc.identifierREDICUC - Repositorio CUC
dc.identifierhttps://repositorio.cuc.edu.co/
dc.identifier.urihttp://repository-salesiana.heoq.net/handle/123456789/316251
dc.languageeng
dc.publisherBirkhauser Verlag Basel
dc.publisherSwitzerland
dc.relationZeitschrift fur Angewandte Mathematik und Physik
dc.relation2
dc.relation74
dc.rights© Copyright 2023 Elsevier B.V., All rights reserved.
dc.rightsAtribución 4.0 Internacional (CC BY 4.0)
dc.rightshttps://creativecommons.org/licenses/by/4.0/
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.rightshttp://purl.org/coar/access_right/c_f1cf
dc.sourcehttps://www.scopus.com/record/display.uri?eid=2-s2.0-85148244340&doi=10.1007%2fs00033-023-01943-9&origin=inward&txGid=14d77a1b9bd9585433360666d9ca8333
dc.subject(ω, Q)-periodic solutions
dc.subjectAffine-periodic functions
dc.subjectHopfield-type
dc.subjectSemilinear Cauchy problem
dc.title(ω, Q) -periodic mild solutions for a class of semilinear abstract differential equations and applications to Hopfield-type neural network model
dc.typeArtículo de revista
dc.typehttp://purl.org/coar/resource_type/c_2df8fbb1
dc.typeText
dc.typeinfo:eu-repo/semantics/article
dc.typehttp://purl.org/redcol/resource_type/ART
dc.typeinfo:eu-repo/semantics/draft
dc.typehttp://purl.org/coar/version/c_b1a7d7d4d402bcce
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