On the general solution of a nonsymmetric partial difference functional equation analogous to the wave equation

DOI10.1007/BF01837969zbMath0651.39001MaRDI QIDQ1106413

Shigeru Haruki

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/137272

zbMATH Keywords

nonsymmetric partial difference functional equationwave equation. continuous solution

Mathematics Subject Classification ID

Additive difference equations (39A10) Functional equations and inequalities (39B99)

Cites Work

• Unnamed Item
• On the functional equation \(\Delta T_1y\Delta T_2yf=0\)
• General and regular solutions of functional equations characterizing harmonic polynomials
• On the functional equation \(f(x+t,y) + f(x-t,y) = f(x,y+t) + f(x,y-t)\)
• 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
• Generalizations of the Wave Equation which Allow Weak and Strong Discontinuities

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