A functional-analytic method for the study of difference equations

Eugenia N Petropoulou, Panayiotis D Siafarikas
2004 Advances in Difference Equations  
We will give the generalization of a recently developed functional-analytic method for studying linear and nonlinear, ordinary and partial, difference equations in the 1 p and 2 p spaces, p ∈ N, p ≥ 1. 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.
doi:10.1155/s1687183904310101 fatcat:oqkxsmalvvedng2mdj74jtxu34