Open Access

A functional-analytic method for the study of difference equations

Advances in Difference Equations20042004:537067

https://doi.org/10.1155/S1687183904310101

Received: 29 October 2003

Published: 12 July 2004

Abstract

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, p, . 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.

Authors’ Affiliations

(1)
Department of Engineering Sciences, Division of Applied Mathematics and Mechanics, University of Patras
(2)
Department of Mathematics, University of Patras

Copyright

© Petropoulou and Siafarikas 2004