Mozyrska-Torres logarithm tends to infinity

Theorem

Let $\mathbb{T}$ be a time scale. The following formula holds: $$\displaystyle\lim_{t \rightarrow \infty} L_{\mathbb{T}}(t) = \infty,$$ where $L_{\mathbb{T}}$ denotes the Mozyrska-Torres logarithm.

References

• Ravi P. Agarwal: Oscillation of second order delay dynamic equations (2005)... (previous)... (next): Lemma 2.2