Stability and asymptotic properties of a linear fractional difference equation

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168718472012122.pdf(375.09 KB)
Date
2012-07-23
Authors
Čermák, Jan
Kisela, Tomáš
Nechvátal, Luděk
ORCID
0000-0002-6884-917X
 0000-0002-9601-7071
 0000-0003-0775-3438
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Referee
Mark
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Springer Nature
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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.
Článek diskutuje kvalitativní vlastnosti dvoučlenné zlomkové diferenční rovnice, se zaměřením na její stabilitu a asymptotiku. Obsahuje rovněž některé důsledky do teorie Volterrových diferenčních rovnic.
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Keywords
Fractional difference equation, Riemann-Liouville difference operator, Volterra equation, stability, asymptotic behaviour, Zlomková diferenční rovnice, Riemannův-Liouvilleův diferenční operátor, Volterrova rovnice, stability, asymptotické chování
Citation
Advances in Difference Equations. 2012, vol. 2012, issue 1, p. 1-14.
https://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2012-122
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Peer-reviewed
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en
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Creative Commons Attribution 2.0 Generic
http://creativecommons.org/licenses/by/2.0/
DOI
10.1186/1687-1847-2012-122
URI
http://hdl.handle.net/11012/137953
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