Publication result detail

Theory of regularly and rapidly varying functions on time scales and its application to dynamic equations

VÍTOVEC, J.

Original Title

Theory of regularly and rapidly varying functions on time scales and its application to dynamic equations

English Title

Theory of regularly and rapidly varying functions on time scales and its application to dynamic equations

Type

Book

Original Abstract

The aims of this tbook are two. First, to establish the theory of regular and rapid variation on time scales, which would naturally supplement and extend the existing theory of regular and rapid variation from the continuous and discrete case. Second, to apply the obtained theory in a study of asymptotic behavior of solutions to linear and half-linear second order dynamic equations on time scales.

English abstract

The aims of this tbook are two. First, to establish the theory of regular and rapid variation on time scales, which would naturally supplement and extend the existing theory of regular and rapid variation from the continuous and discrete case. Second, to apply the obtained theory in a study of asymptotic behavior of solutions to linear and half-linear second order dynamic equations on time scales.

Keywords

Regularly varying function; rapidly varying function; time scale; Embedding theorem; Representation theorem; second order dynamic equation; asymptotic properties; half-linear dynamic equation; q-difference equation; q-regular variation; q-rapid variation

Key words in English

Regularly varying function; rapidly varying function; time scale; Embedding theorem; Representation theorem; second order dynamic equation; asymptotic properties; half-linear dynamic equation; q-difference equation; q-regular variation; q-rapid variation

Authors

VÍTOVEC, J.

RIV year

2016

Released

15.02.2011

Publisher

Masaryk University

Location

Brno

ISBN

978-80-210-5426-4

Edition

Muni PRESS

Pages from

1

Pages to

90

Pages count

90

BibTex

@book{BUT62034,
  author="Jiří {Vítovec}",
  title="Theory of regularly and rapidly varying functions on time scales and its application to dynamic equations",
  year="2011",
  publisher="Masaryk University",
  address="Brno",
  series="Muni PRESS",
  edition="1",
  pages="1--90",
  isbn="978-80-210-5426-4"
}