The general solution of some finite difference equations analogous to the wave equation

DOI10.1007/BF01844500zbMath0248.39002OpenAlexW2079525744MaRDI QIDQ2556550

M. A. McKiernan

Publication date: 1972

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136299

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (5)

On the general solution of a nonsymmetric partial difference functional equation analogous to the wave equation ⋮ On the functional equation \(\Delta T_1y\Delta T_2yf=0\) ⋮ Note on the equation (\(Delta^ 2(\)x,t) - \(Delta^ 2(\)y,t)) f(x,y) =0 ⋮ A nonsymmetric partial difference functional equation analogous to the wave equation ⋮ Functional equations and \(^*\)-representations on topological semigroups

Cites Work

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• General and regular solutions of functional equations characterizing harmonic polynomials
• Boundedness on a set of positive measure and the mean value property characterizes polynomials on a space \(V^ n\)
• Einige Bemerkungen über eine Differenzenfunktionalgleichung
• An Analogue of the Wave Equation and Certain Related Functional Equations

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