Advances in Difference Equations
Volume 2008 (2008), Article ID 316207, 20 pages
Research Article

Semilinear Evolution Equations of Second Order via Maximal Regularity

Claudio Cuevas1 and Carlos Lizama2

1Departamento de Matemática, Universidade Federal de Pernambuco, Avenue Prof. Luiz Freire, S/N, Recife, 50540-740 PE, Brazil
2Departamento de Matemática, Facultad de Ciencias, Universidad de Santiago de Chile, Casilla 307-Correo 2, Santiago, Chile

Received 26 October 2007; Revised 23 January 2008; Accepted 4 February 2008

Academic Editor: Alberto Cabada

Copyright © 2008 Claudio Cuevas and Carlos Lizama. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper deals with the existence and stability of solutions for semilinear second-order evolution equations on Banach spaces by using recent characterizations of discrete maximal regularity.