Vol. 37(51), pp. 23--24 (1985)
An application of nonstandard analysis to functional equations
Miodrag Ra\v skovi\'cPrirodno-matemati\v cki fakultet, Kragujevac, Yugoslavia
Abstract: Using methods of nonstandard analysis it is proved that all measurable solutions of the equation $f(x+y)=g(f(x),\, f(y),\,\, x, y)$ (with $g$ continuous) are continuous.
Classification (MSC2000): 03H05; 39B99
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