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 PDF
- Proc. Amer. Math. Soc. 148 (2020), 1611-1624 Request permission
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.References
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Additional Information
- Baku Ito
- Affiliation: Department of Mathematical Sciences, Osaka Prefecture University, Sakai 599-8531, Japan
- Email: sxb01019@edu.osakafu-u.ac.jp
- Pavel Řehák
- Affiliation: Institute of Mathematics, FME, Brno University of Technology, Technická 2 Brno CZ-61669, Czech Republic
- Email: rehak.pavel@fme.vutbr.cz
- Naoto Yamaoka
- Affiliation: Department of Mathematical Sciences, Osaka Prefecture University, Sakai 599-8531, Japan
- MR Author ID: 688560
- Email: yamaoka@ms.osakafu-u.ac.jp
- Received by editor(s): May 27, 2019
- Received by editor(s) in revised form: August 8, 2019
- Published electronically: January 13, 2020
- Additional Notes: The second author was supported by the grant 17-03224S of the Czech Science Foundation.
The third author was supported by Grant for Basic Science Research Projects from The Sumitomo Foundation (190673) - Communicated by: Mourad Ismail
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 1611-1624
- MSC (2010): Primary 34N05; Secondary 34C10
- DOI: https://doi.org/10.1090/proc/14812
- MathSciNet review: 4069198