Detail publikačního výsledku

q-Karamata functions and second order q-difference equations

VÍTOVEC, J.; ŘEHÁK, P.

Originální název

q-Karamata functions and second order q-difference equations

Anglický název

q-Karamata functions and second order q-difference equations

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

In this paper we introduce and study q-rapidly varying functions, which naturally extend the recently established concept of q-regularly varying functions. These types of functions together form the class of the so-called q-Karamata functions. The theory of q-Karamata functions is then applied to half-linear q-difference equations to get information about asymptotic behavior of nonoscillatory solutions. The obtained results can be seen as q-versions of the existing ones in the linear and half-linear differential equation case.

Anglický abstrakt

In this paper we introduce and study q-rapidly varying functions, which naturally extend the recently established concept of q-regularly varying functions. These types of functions together form the class of the so-called q-Karamata functions. The theory of q-Karamata functions is then applied to half-linear q-difference equations to get information about asymptotic behavior of nonoscillatory solutions. The obtained results can be seen as q-versions of the existing ones in the linear and half-linear differential equation case.

Klíčová slova

regularly varying functions; rapidly varying functions; q-difference equations; asymptotic behavior

Klíčová slova v angličtině

regularly varying functions; rapidly varying functions; q-difference equations; asymptotic behavior

Autoři

VÍTOVEC, J.; ŘEHÁK, P.

Rok RIV

2011

Vydáno

06.04.2011

ISSN

1417-3875

Periodikum

Electronic Journal of Qualitative Theory of Differential Equations

Svazek

24 (2011)

Číslo

4

Stát

Maďarsko

Strany od

1

Strany do

20

Strany počet

20

BibTex

@article{BUT44047,
  author="Jiří {Vítovec} and Pavel {Řehák}",
  title="q-Karamata functions and second order q-difference equations",
  journal="Electronic Journal of Qualitative Theory of Differential Equations",
  year="2011",
  volume="24 (2011)",
  number="4",
  pages="1--20",
  issn="1417-3875"
}