Some applications of nonstandard analysis to functional equations

Bojana Lasković; Miodrag Rašković; Nebojša Ikodinović

Mathematical Conferences Niš, Serbia, 13th Serbian Mathematical Congress

Bojana Lasković, Miodrag Rašković, Nebojša Ikodinović

Last modified: 2014-01-31

Abstract

In this talk we will present and discuss some nonstandard methods applied for solving certain functional equations. In particular, we will prove that all measurable solutions of the considered equations are continuous. Some applications will be given.

Keywords

Loeb measure, continuity, measurability, lifting