Article ISI
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS  (2014)

Mild solutions of non-autonomous second order problems with nonlocal initial conditions

Henriquez, HR; Poblete V.; Pozo, JC

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. (C) 2013 Elsevier Inc. All rights reserved.

Más información

Título según WOS: Mild solutions of non-autonomous second order problems with nonlocal initial conditions
Título de la Revista: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volumen: 412
Número: 2
Editorial: ACADEMIC PRESS INC ELSEVIER SCIENCE
Fecha de publicación: 2014
Página de inicio: 1064
Página final: 1083
Idioma: English
URL: http://linkinghub.elsevier.com/retrieve/pii/S0022247X13010020
DOI:

10.1016/j.jmaa.2013.10.086
Notas: ISI