Publication detail

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

ŘEHÁK, P. YAMAOKA, N. ITO, B.

English title

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

Type

journal article in Web of Science

Language

en

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.

English 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 in English

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

Released

13.01.2020

ISSN

0002-9939

Volume

148

Number

4

Pages from–to

1611–1624

Pages count

14

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",
  year="2020",
  volume="148",
  number="4",
  month="January",
  pages="1611--1624",
  issn="0002-9939"
}