Advances in Difference Equations
Volume 2004 (2004), Issue 3, Pages 237-248

A functional-analytic method for the study of difference equations

Eugenia N. Petropoulou1 and Panayiotis D. Siafarikas2

1Department of Engineering Sciences, Division of Applied Mathematics and Mechanics, University of Patras, Patras 26500, Greece
2Department of Mathematics, University of Patras, Patras 26500, Greece

Received 29 October 2003; Revised 10 February 2004

Copyright © 2004 Eugenia N. Petropoulou and Panayiotis D. Siafarikas. 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.


We will give the generalization of a recently developed functional-analytic method for studying linear and nonlinear, ordinary and partial, difference equations in the p1 and p2 spaces, p, p1. The method will be illustrated by use of two examples concerning a nonlinear ordinary difference equation known as the Putnam equation, and a linear partial difference equation of three variables describing the discrete Newton law of cooling in three dimensions.