Note on the equation (\(Delta^ 2(\)x,t) - \(Delta^ 2(\)y,t)) f(x,y) =0

DOI10.1007/BF02189340zbMath0462.39006MaRDI QIDQ1153286

Shigeru Haruki

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/182416

zbMATH Keywords

Abelian grouppartial difference functional equationbi-additive function

Mathematics Subject Classification ID

Additive difference equations (39A10) Functional equations for functions with more general domains and/or ranges (39B52) Functional equations and inequalities (39B99)

Related Items (3)

On trigonometric functional equations of rectangular type ⋮ Abelian groups ⋮ On the general solution of the triangle mean value equation

Cites Work

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• On the functional equation \(\Delta T_1y\Delta T_2yf=0\)
• The general solution of some finite difference equations analogous to the wave equation
• A General Functional Equation
• On vanishing n-th ordered differences and Hamel bases
• An Analogue of the Wave Equation and Certain Related Functional Equations

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