Mild solutions of non-autonomous second order problems with nonlocal initial conditions
Author
dc.contributor.author
Henríquez, Hernán R.
Author
dc.contributor.author
Poblete Oviedo, Verónica
es_CL
Author
dc.contributor.author
Pozo, Juan C.
es_CL
Admission date
dc.date.accessioned
2014-12-11T18:59:41Z
Available date
dc.date.available
2014-12-11T18:59:41Z
Publication date
dc.date.issued
2014
Cita de ítem
dc.identifier.citation
J. Math. Anal. Appl. 412 (2014) 1064–1083
en_US
Identifier
dc.identifier.other
dx.doi.org/10.1016/j.jmaa.2013.10.086
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/128687
General note
dc.description
Artículo de publicación ISI
en_US
Abstract
dc.description.abstract
In this paper we establish the existence of mild solutions for a non-autonomous abstract semi-linear second order differential equation submitted to nonlocal initial conditions. Our approach relies on the existence of an evolution operator for the corresponding linear equation and the properties of the Hausdorff measure of non-compactness.
en_US
Patrocinador
dc.description.sponsorship
Partially supported by: CONICYT under grant FONDECYT 1130144 and DICYT-USACH, FONDECYT 1110090 and MECESUP PUC 0711.