Publicación:
EXISTENCE AND ROUGHNESS OF NONUNIFORM EXPONENTIAL DICHOTOMIES ON TIME SCALES

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dc.creatorSAMUEL DE JESÚS CASTILLO APOLONIO
dc.date2024
dc.date.accessioned2025-01-10T15:49:07Z
dc.date.available2025-01-10T15:49:07Z
dc.date.issued2024
dc.description.abstractIN THIS MANUSCRIPT, WE DISCUSS THE ROUGHNESS OF NONUNIFORM EXPONENTIAL DICHOTOMIES ON A TIME SCALE IN A BANACH SPACE AND GIVE THE EXISTENCE RESULTS FOR NONUNIFORM AND UNIFORM EXPONENTIAL DICHOTOMY FOR THE TIME SCALE. WE EXTEND AND UNIFY THE PREVIOUS RESULTS BY CONSIDERING THE EQUATION ON A TIME SCALE. FOR A GIVEN LINEAR EQUATION ON A TIME SCALE, THE EXISTENCE OF EXPONENTIAL DICHOTOMY PERSISTS UNDER AN ADEQUATELY SMALL VARIABLE LINEAR PERTURBATION. TO ESTABLISH THE RESULTS, WE ACQUIRE RELATED ROUGHNESS RESULTS FOR THE CASE OF UNIFORM EXPONENTIAL CONTRACTIONS. IN THE END, A SUITABLE EXAMPLE IS GIVEN FOR ILLUSTRATION.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s12346-023-00949-y
dc.identifier.issn1662-3592
dc.identifier.issn1575-5460
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13794
dc.languagespa
dc.publisherQUALITATIVE THEORY OF DYNAMICAL SYSTEMS
dc.relation.uri10.1007/s12346-023-00949-y
dc.rightsPUBLICADA
dc.subjectTime scales-Dichotomic inequalities-Roughness-Uniform and nonuniform exponential dichotomy-Nonuniform exponential contraction
dc.titleEXISTENCE AND ROUGHNESS OF NONUNIFORM EXPONENTIAL DICHOTOMIES ON TIME SCALES
dc.typeARTÍCULO
dspace.entity.typePublication
oaire.fundingReferenceUBB- UNIVERSIDAD DEL BÍO-BÍO
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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