| dc.creator | Alvarez, Edgardo | |
| dc.creator | Gómez, Adrián | |
| dc.creator | Pinto Jiménez, Manuel | |
| dc.date.accessioned | 2018-12-20T14:22:45Z | |
| dc.date.available | 2018-12-20T14:22:45Z | |
| dc.date.created | 2018-12-20T14:22:45Z | |
| dc.date.issued | 2018 | |
| dc.identifier | Electronic Journal of Qualitative Theory of Differential Equations, Volumen 2018, | |
| dc.identifier | 14173875 | |
| dc.identifier | 10.14232/ejqtde.2018.1.16 | |
| dc.identifier | https://repositorio.uchile.cl/handle/2250/155741 | |
| dc.description.abstract | © 2018, University of Szeged. All rights reserved. In this paper we study a new class of functions, which we call (ω, 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 (ω, c)-periodic mild solutions to a fractional evolution equation. | |
| dc.language | en | |
| dc.publisher | University of Szeged | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
| dc.source | Electronic Journal of Qualitative Theory of Differential Equations | |
| dc.subject | (ω, C)-periodic | |
| dc.subject | Antiperiodic | |
| dc.subject | Completeness | |
| dc.subject | Convolution invariance | |
| dc.subject | Fractional integro-differential equations | |
| dc.subject | Periodic | |
| dc.title | (ω, c)-periodic functions and mild solutions to abstract fractional integro-differential equations | |
| dc.type | Artículos de revistas | |
