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Advances in Continuous and Discrete Models

Theory and Modern Applications

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A functional-analytic method for the study of difference equations

Advances in Difference Equations volumeĀ 2004, ArticleĀ number:Ā 537067 (2004) Cite this article

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, pāˆˆā„•, . 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.

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Authors and Affiliations

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

    Eugenia N Petropoulou

  2. Department of Mathematics, University of Patras, Patras, 26500, Greece

    Panayiotis D Siafarikas

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  1. Eugenia N Petropoulou
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  2. Panayiotis D Siafarikas
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Correspondence to Eugenia N Petropoulou.

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Petropoulou, E.N., Siafarikas, P.D. A functional-analytic method for the study of difference equations. Adv Differ Equ 2004, 537067 (2004). https://doi.org/10.1155/S1687183904310101

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  • DOI: https://doi.org/10.1155/S1687183904310101