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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

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

Abstract

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