J. Math. Anal. Appl. 385, 1184-1189 (2012) [DOI: 10.1016/j.jmaa.2011.07.041]

On the connection between the Hilger and Radon-Nikodym derivatives

Jonathan Eckhardt and Gerald Teschl

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.

MSC2010: Primary 26E70, 28A15; Secondary 34N05, 39A12
Keywords: Time scale calculus, Hilger derivative, Radon-Nikodym derivative

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