A functional-analytic method for the study of difference equations. Issue 3 (12th July 2004)

• Record Type: Journal Article
• Authors: Petropoulou, Eugenia N.; Siafarikas, Panayiotis D.
• Is Part Of: Advances in difference equations. Volume 2004:Issue 3(2004)
• Page Start: 237
• Page End: 248
• Publication Date: 2004-07-12
• Subjects: Difference equations -- Periodicals; 515.625
• DOI: 10.1155/S1687183904310101
• Languages: English
• ISSNs: 1687-1847

Abstract

Abstract : We will give the generalization of a recently developed functional-analytic method for studying linear and nonlinear, ordinary and partial, difference equations in theℓ p 1 andℓ p 2 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.