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