Applications of iterated logarithm functions on time scales to Riemann–Weber-type equations

Ito, Baku; Řehák, Pavel; Yamaoka, Naoto

doi:10.1090/proc/14812

Applications of iterated logarithm functions on time scales to Riemann–Weber-type equations
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by Baku Ito, Pavel Řehák and Naoto Yamaoka

Proc. Amer. Math. Soc. 148 (2020), 1611-1624

DOI: https://doi.org/10.1090/proc/14812

Published electronically: January 13, 2020

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Abstract:

The aim of this paper is to give general solutions of second-order linear dynamic equations on time scales, which are related to Riemann–Weber-type differential equations. The general solutions naturally include iterated logarithm functions on time scales. Using their properties, we obtain complete information on oscillation for the equations, which are important for comparison purposes.

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