On the connection between the Hilger and Radon-Nikodym derivatives

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:385

Article

Eckhardt, Jonathan¹  Teschl, Gerald^1,2 

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

[2] Int Erwin Schrodinger Inst Math Phys, A-1090 Vienna, Austria

关键词: Time scale calculus;    Hilger derivative;    Radon-Nikodym derivative;   

DOI  :  10.1016/j.jmaa.2011.07.041

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free