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VÍTOVEC, J. ŘEHÁK, P.
Originální název
q-Karamata functions and second order q-difference equations
Typ
článek v časopise - ostatní, Jost
Jazyk
angličtina
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.
Klíčová slova
regularly varying functions; rapidly varying functions; q-difference equations; asymptotic behavior
Autoři
VÍTOVEC, J.; ŘEHÁK, P.
Rok RIV
2011
Vydáno
6. 4. 2011
ISSN
1417-3875
Periodikum
Electronic Journal of Qualitative Theory of Differential Equations
Ročník
24 (2011)
Číslo
4
Stát
Maďarsko
Strany od
1
Strany do
20
Strany počet
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" }