Publicación:
ADDITION THEOREMS FOR C-K REAL FUNCTIONS AND APPLICATIONS IN ORDINARY DIFFERENTIAL EQUATIONS

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dc.creatorFRANCISCO CRESPO CUTILLAS
dc.creatorSALOMON REBOLLO PERDOMO
dc.date2021
dc.date.accessioned2025-01-10T15:21:57Z
dc.date.available2025-01-10T15:21:57Z
dc.date.issued2021
dc.description.abstractTHIS WORK ESTABLISHES THE EXISTENCE OF ADDITION THEOREMS AND DOUBLE-ANGLE FORMULAS FOR CK REAL SCALAR FUNCTIONS. MOREOVER, WE DETERMINE NECESSARY AND SUFFICIENT CONDITIONS FOR A BIVARIATE FUNCTION TO BE AN ADDITION FORMULA FOR A CK REAL FUNCTION. THE DOUBLE-ANGLE FORMULAS ALLOW US TO GENERATE A DUPLICATION ALGORITHM, WHICH CAN BE USED AS AN ALTERNATIVE TO THE CLASSICAL NUMERICAL METHODS TO OBTAIN AN APPROXIMATION FOR THE SOLUTION OF AN ORDINARY DIFFERENTIAL EQUATION. WE DEMONSTRATE THAT THIS ALGORITHM CONVERGES UNIFORMLY IN ANY COMPACT DOMAIN CONTAINED IN THE MAXIMAL DOMAIN OF THAT SOLUTION. FINALLY, WE CARRY OUT SOME NUMERICAL SIMULATIONS SHOWING A GOOD PERFORMANCE OF THE DUPLICATION ALGORITHM WHEN COMPARED WITH STANDARD NUMERICAL METHODS
dc.formatapplication/pdf
dc.identifier.doi10.1007/s00010-021-00822-w
dc.identifier.issn1420-8903
dc.identifier.issn0001-9054
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11670
dc.languagespa
dc.publisherAEQUATIONES MATHEMATICAE
dc.relation.uri10.1007/s00010-021-00822-w
dc.rightsPUBLICADA
dc.titleADDITION THEOREMS FOR C-K REAL FUNCTIONS AND APPLICATIONS IN ORDINARY DIFFERENTIAL EQUATIONS
dc.title.alternativeTEOREMAS DE LA ADICIÓN DE CK FUNCIONES REALES Y APLICACIONES EN ECUACIONES DIFERENCIALES ORDINARIAS
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
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