Advances in Difference Equations
Volume 2006 (2006), Article ID 78470, 28 pages
On linear Volterra difference equations with infinite delay
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
Copyright © 2006 Ch. G. Philos and I. K. Purnaras. 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.
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.