A nonsymmetric partial difference functional equation analogous to the wave equation

DOI10.3792/PJAA.61.302zbMath0585.39005OpenAlexW2049345263MaRDI QIDQ1071189

Shigeru Haruki

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.302

zbMATH Keywords

additiveoperatorswave equationpolynomialsfunctionspositive measurefunctions bounded on sets ofgeneral bounded solutionspartial difference functional equation

Mathematics Subject Classification ID

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

Cites Work

• 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

This page was built for publication: A nonsymmetric partial difference functional equation analogous to the wave equation