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

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

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

Released

13.01.2020

Pages from

1611

Pages to

1624

Pages count

14

URL

Documents

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",
  annote="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.
",
  chapter="162018",
  doi="10.1090/proc/14812",
  howpublished="online",
  number="4",
  volume="148",
  year="2020",
  month="january",
  pages="1611--1624",
  type="journal article in Web of Science"
}