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

VÍTOVEC, J. Theory of regularly and rapidly varying functions on time scales and its application to dynamic equations. Muni PRESS. Muni PRESS. Brno: Masaryk University, 2011. 90 p. ISBN: 978-80-210-5426-4.
Type
book
Language
English
Authors
Vítovec Jiří, Mgr., Ph.D., UMAT (FEEC)
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

Published
2011
Pages
1–90
Series
Muni PRESS
Edition
1
ISBN
978-80-210-5426-4
Publisher
Masaryk University
Place
Brno
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"
}
Departments
Department of Mathematics (UMAT)
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