dc.creatorÁlvarez, Edgardo
dc.creatorGómez, Adrián
dc.creatorPinto Jiménez, Manuel
dc.date.accessioned2018-08-13T13:44:12Z
dc.date.available2018-08-13T13:44:12Z
dc.date.created2018-08-13T13:44:12Z
dc.date.issued2018
dc.identifierEelectronic Journal of Qualitative Theory of Differential Equations 2018, No. 16, 1–8
dc.identifier10.14232/ejqtde.2018.1.16
dc.identifierhttps://repositorio.uchile.cl/handle/2250/150886
dc.description.abstractIn this paper we study a new class of functions, which we call (omega, c)-periodic functions. This collection includes periodic, anti-periodic, Bloch and unbounded functions. We prove that the set conformed by these functions is a Banach space with a suitable norm. Furthermore, we show several properties of this class of functions as the convolution invariance. We present some examples and a composition result. As an application, we establish some sufficient conditions for the existence and uniqueness of (omega, c)-periodic mild solutions to a fractional evolution equation.
dc.languageen
dc.publisherUniv Szeged
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Chile
dc.sourceEelectronic Journal of Qualitative Theory of Differential Equations
dc.subjectAntiperiodic
dc.subjectPeriodic
dc.subject(omega, c)-periodic
dc.subjectConvolution invariance
dc.subjectFractional integro-differential equations
dc.title(ω, c)-periodic functions and mild solutions to abstract fractional integro-differential equations
dc.typeArtículo de revista


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