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NON-TRIVIAL PERIODIC SOLUTIONS FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH LARGE DELAY

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dc.creatorADRIÁN ALEJANDRO GÓMEZ GAETE
dc.date2023
dc.date.accessioned2025-01-10T15:44:45Z
dc.date.available2025-01-10T15:44:45Z
dc.date.issued2023
dc.description.abstractWE PROVIDE A RESULT ON THE EXISTENCE OF A POSITIVE PERIODIC SOLUTION FOR THE FOLLOWING CLASS OF DELAY EQUATIONS 0´(T) -0(T) + F (0(T - R)) = 0. IN PARTICULAR, WE FIND AN INFINITE FAMILY OF DISJOINT INTERVALS HAVING THE FOLLOWING PROPERTY: IF THE DELAY IS WITHIN ONE OF THESE INTERVALS, THEN THE EQUATION ADMITS A NON-TRIVIAL AND EVEN 2R-PERIODIC SOLUTION. FURTHERMORE, THE LENGTH OF THESE INTERVALS IS CONSTANT AND DEPENDS ON THE SIZE OF THE TERM |F (?)|, WHERE ? IS THE UNIQUE POSITIVE EQUILIBRIUM POINT OF THE EQUATION. CONSEQUENTLY, WE CAN FIND PERIODIC SOLUTIONS FOR ARBITRARILY LARGE DELAYS.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s10440-023-00613-2
dc.identifier.issn1572-9036
dc.identifier.issn0167-8019
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13462
dc.languagespa
dc.publisherACTA APPLICANDAE MATHEMATICAE
dc.relation.uri10.1007/s10440-023-00613-2
dc.rightsPUBLICADA
dc.subjectPeriodic solutions
dc.subjectNon-perturbative methods
dc.subjectDifferential delay equation
dc.subjectDegree theory
dc.titleNON-TRIVIAL PERIODIC SOLUTIONS FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH LARGE DELAY
dc.typeARTÍCULO
dspace.entity.typePublication
oaire.fundingReferenceUBB- UNIVERSIDAD DEL BÍO-BÍO
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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