, Vol. 37(51), pp. 23--24, 1985

Vol. 37(51), pp. 23--24 (1985)

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An application of nonstandard analysis to functional equations

Miodrag Ra\v skovi\'c

Prirodno-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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© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
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