Result Details

q-regular variation and q-difference equations

VÍTOVEC, J.; ŘEHÁK, P. q-regular variation and q-difference equations. Journal of Physics A-Mathematical and Theoretical, 2008, vol. 41, no. 495203, p. 1-10. ISSN: 1751-8113.
Type
journal article
Language
English
Authors
Vítovec Jiří, Mgr., Ph.D.
Řehák Pavel, prof. Mgr., Ph.D.
Abstract

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.

Keywords

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

Published
2008
Pages
1–10
Journal
Journal of Physics A-Mathematical and Theoretical, vol. 41, no. 495203, ISSN 1751-8113
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"
}
Departments
Department of Mathematics (UMAT)
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