Publicación:
WEIGHTED PSEUDO ALMOST AUTOMORPHIC SOLUTION FOR ABSTRACT DYNAMIC EQUATIONS UNDER TRANSLATION AND NON-TRANSLATION TIME SCALES WITH SHIFT OPERATORS AND UNBOUNDED GRAININESS

dc.creatorSAMUEL DE JESÚS CASTILLO APOLONIO
dc.date2023
dc.date.accessioned2025-01-10T15:41:37Z
dc.date.available2025-01-10T15:41:37Z
dc.date.issued2023
dc.description.abstractIN THIS MANUSCRIPT, WE DISCUSS THE GENERALIZED ALMOST AUTOMORPHIC CONCEPT OF ARBITRARY BOUNDED AND UNBOUNDED TIME SCALES AND INITIATE A NEW IDEA, NAMELY THE CONCEPT OF CHANGING-PERIODIC TIME SCALES. WE STUDY WEIGHTED PSEUDO ALMOST AUTOMORPHIC FUNCTIONS UNDER THE SHIFT OPERATOR FOR TRANSLATION AND NON-TRANSLATION TIME SCALES. IMPORTANT NOVEL RESULTS AND ESSENTIAL PROPERTIES OF SUCH FUNCTIONS ARE ESTABLISHED ON IRREGULAR HYBRID DOMAINS. THE OBTAINED RESULTS ARE VALID FOR SEVERAL EQUATIONS DEFINED OVER VARIOUS TIME SCALES SUCH AS QUANTUM TIME SCALES, CANTOR SET TIME SCALES, HARMONIC TIME SCALES, AND SO ON. THE IDEA OF CHANGING-PERIODIC TIME SCALES PRESENTED IN THIS PAPER WILL HELP IN COMPREHENSION AND ELIMINATE THE GENUINE LACK THAT ARISES IN THE STUDY OF CLASSICAL FUNCTIONS ON TIME SCALES WHERE THE BOUNDEDNESS OF THE GRAININESS FUNCTION IS REQUIRED. THE RESULTS ARE NEW, NONTRIVIAL, AND COMPLEMENT THE EXISTING ONES.
dc.formatapplication/pdf
dc.identifier.issn2662-2009
dc.identifier.issn2538-225X
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13218
dc.languagespa
dc.publisherADVANCES IN OPERATOR THEORY
dc.rightsPUBLICADA
dc.subjectWeighted pseudo almost automorphy
dc.subjectUnbounded graininess
dc.subjectTime scales
dc.subjectShift operator
dc.subjectAlmost automorphy
dc.titleWEIGHTED PSEUDO ALMOST AUTOMORPHIC SOLUTION FOR ABSTRACT DYNAMIC EQUATIONS UNDER TRANSLATION AND NON-TRANSLATION TIME SCALES WITH SHIFT OPERATORS AND UNBOUNDED GRAININESS
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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