Detail publikačního výsledku

q-regular variation and q-difference equations

VÍTOVEC, J.; ŘEHÁK, P.

Originální název

q-regular variation and q-difference equations

Anglický název

q-regular variation and q-difference equations

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

We introduce the concept of $q$-regularly varying functions and establish basic properties of such functions. Among others it is shown that considering regular variation in $q$-calculus is somehow natural and leads to interesting observations and simplifications comparing with classical continuous and discrete theories. The obtained theory is applied to an investigation of asymptotic behavior of solutions to linear second order $q$-difference equations.

Anglický abstrakt

We introduce the concept of $q$-regularly varying functions and establish basic properties of such functions. Among others it is shown that considering regular variation in $q$-calculus is somehow natural and leads to interesting observations and simplifications comparing with classical continuous and discrete theories. The obtained theory is applied to an investigation of asymptotic behavior of solutions to linear second order $q$-difference equations.

Klíčová slova

q-calculus; regularly varying function; q-difference equation; asymptotic behavior

Klíčová slova v angličtině

q-calculus; regularly varying function; q-difference equation; asymptotic behavior

Autoři

VÍTOVEC, J.; ŘEHÁK, P.

Rok RIV

2011

Vydáno

01.10.2008

ISSN

1751-8113

Periodikum

Journal of Physics A-Mathematical and Theoretical

Svazek

41

Číslo

495203

Stát

Spojené království Velké Británie a Severního Irska

Strany od

1

Strany do

10

Strany počet

10

BibTex

@article{BUT50469,
  author="Jiří {Vítovec} and Pavel {Řehák}",
  title="q-regular variation and q-difference equations",
  journal="Journal of Physics A-Mathematical and Theoretical",
  year="2008",
  volume="41",
  number="495203",
  pages="1--10",
  issn="1751-8113"
}