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

Authors :
Ito, Baku
Řehák, Pavel
Yamaoka, Naoto
Source :
Proceedings of the American Mathematical Society. Apr2020, Vol. 148 Issue 4, p1611-1624. 14p.
Publication Year :
2020

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
148
Issue :
4
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
141963037
Full Text :
https://doi.org/10.1090/proc/14812