Detail publikace

# 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

Jazyk

en

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.

Dokumenty

BibTex

``````
@article{BUT44047,
author="Jiří {Vítovec} and Pavel {Řehák}",
title="q-Karamata functions and second order q-difference equations",
annote="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.",
chapter="44047",
journal="Electronic Journal of Qualitative Theory of Differential Equations",
number="4",
volume="24 (2011)",
year="2011",
month="april",
pages="1--20",
type="journal article - other"
}``````