Publication detail

Stability and asymptotic properties of a linear fractional difference equation

ČERMÁK, J. KISELA, T. NECHVÁTAL, L.

Czech title

Stabilita a asymptotické vlastnosti lineární zlomkové diferenční rovnice

English title

Stability and asymptotic properties of a linear fractional difference equation

Type

journal article - other

Language

en

Original abstract

This paper discusses qualitative properties of the two-term linear fractional difference equation with respect to its stability and asymptotics. Some consequences to the theory of Volterra difference equations are presented as well.

Czech abstract

Článek diskutuje kvalitativní vlastnosti dvoučlenné zlomkové diferenční rovnice, se zaměřením na její stabilitu a asymptotiku. Obsahuje rovněž některé důsledky do teorie Volterrových diferenčních rovnic.

English abstract

This paper discusses qualitative properties of the two-term linear fractional difference equation with respect to its stability and asymptotics. Some consequences to the theory of Volterra difference equations are presented as well.

Keywords in Czech

Zlomková diferenční rovnice; Riemannův-Liouvilleův diferenční operátor; Volterrova rovnice; stability; asymptotické chování

Keywords in English

Fractional difference equation; Riemann-Liouville difference operator; Volterra equation; stability; asymptotic behaviour

RIV year

2012

Released

23.07.2012

Publisher

Springer Nature

ISSN

1687-1847

Volume

2012

Number

1

Pages from–to

1–14

Pages count

14

BIBTEX


@article{BUT93931,
  author="Jan {Čermák} and Tomáš {Kisela} and Luděk {Nechvátal},
  title="Stability and asymptotic properties of a linear fractional difference equation",
  year="2012",
  volume="2012",
  number="1",
  month="July",
  pages="1--14",
  publisher="Springer Nature",
  issn="1687-1847"
}