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Advances in Difference Equations 
Volume 2006 (2006), Article ID 78470, 28 pages
doi:10.1155/ADE/2006/78470

On linear Volterra difference equations with infinite delay

Ch. G. Philos and I. K. Purnaras

Department of Mathematics, University of Ioannina, P.O. Box 1186, Ioannina 451 10, Greece

Received 2 February 2005; Revised 30 June 2005; Accepted 6 July 2005

Abstract

Linear neutral, and especially non-neutral, Volterra difference equations with infinite delay are considered and some new results on the behavior of solutions are established. The results are obtained by the use of appropriate positive roots of the corresponding characteristic equation.