Advances in Difference Equations
Volume 2006 (2006), Article ID 97614, 11 pages
doi:10.1155/ADE/2006/97614
A note on discrete maximal regularity for functional difference equations with infinite delay
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.
Abstract
Using exponential dichotomies, we get maximal regularity for retarded functional difference equations. Applications on Volterra difference equations with infinite delay are shown.