Advances in Difference Equations
Volume 2004 (2004), Issue 3, Pages 237-248
A functional-analytic method for the study of difference equations
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 and spaces, , . 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.