On the connection between the Hilger and Radon--Nikodym derivatives

Details On the connection between the Hilger and Radon--Nikodym derivatives On the connection between the Hilger and Radon--Nikodym derivatives

2011-02-12

arxiv.org/abs/1102.2511v2

J. Math. Anal. Appl. 385, 1184-1189 (2012)

Mathematics

Classical Analysis and ODEs

7 pages

Scientific paper

10.1016/j.jmaa.2011.07.041

We show that the Hilger derivative on time scales is a special case of the
Radon--Nikodym derivative with respect to the natural measure associated with
every time scale. Moreover, we show that the concept of delta absolute
continuity agrees with the one from measure theory in this context.

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