Functional Equation Analogous to the 2-Dimensional Wave Equation

CJM Vol. 4 (December 2012), pp. 1 – 11.


In this paper, we obtained the general solution for the functional equation
\[(\Delta^2_{x,h_1}f)(x, y, t) + (\Delta^2_{y,h_2}f )(x, y, t) = (\Delta^2_{t,h_3}f )(x, y, t)\]
analogous to 2-dimensional wave equation.

2000 Mathematics Subject Classification: 

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