Advances in Difference Equations
Volume 2006 (2006), Article ID 97614, 11 pages

A note on discrete maximal regularity for functional difference equations with infinite delay

Claudio Cuevas and Claudio vidal

Departamento de Matemática, Universidade Federal de Pernambuco, Recife-PE 50540-740, CEP., Brazil

Received 4 October 2005; Accepted 1 November 2005

Dedicated to Juan Cuevas Gonzalez

Copyright © 2006 Claudio Cuevas and Claudio vidal. 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.


Using exponential dichotomies, we get maximal regularity for retarded functional difference equations. Applications on Volterra difference equations with infinite delay are shown.