Publication detail

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

ŘEHÁK, P. YAMAOKA, N. ITO, B.

Original Title

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

Type

journal article in Web of Science

Language

English

Original 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.

Keywords

Time scales calculus; iterated logarithm functions; Euler type equations; Riemann-Weber type equations; oscillation; oscillation constant.

Authors

ŘEHÁK, P.; YAMAOKA, N.; ITO, B.

Released

13. 1. 2020

ISBN

0002-9939

Periodical

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Year of study

148

Number

4

State

United States of America

Pages from

1611

Pages to

1624

Pages count

14

URL

https://www.ams.org/journals/proc/2020-148-04/S0002-9939-2020-14812-5/

BibTex

@article{BUT162018,
  author="Pavel {Řehák} and Naoto {Yamaoka} and Baku {Ito}",
  title="Applications of iterated logarithm functions on time scales to Riemann-Weber type equations",
  journal="PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY",
  year="2020",
  volume="148",
  number="4",
  pages="1611--1624",
  doi="10.1090/proc/14812",
  issn="0002-9939",
  url="https://www.ams.org/journals/proc/2020-148-04/S0002-9939-2020-14812-5/"
}