关于Hilger导数与Radon-Nikodym导数之间的联系
On the connection between the Hilger and Radon--Nikodym derivatives
摘要:
我们证明了在时间尺度上的Hilger导数是Radon-Nikodym导数关于与每个时间尺度相关联的自然测度的一个特例。此外,我们表明,δ绝对连续性的概念同意从测度论在这种情况下。
英文摘要:
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.
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