Detail publikace
On a generalization of the Levin-May Theorem
ČERMÁK, J. JÁNSKÝ, J.
Originální název
On a generalization of the Levin-May Theorem
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
The paper discusses a distribution of the zeros of a special three-term polynomial. This problem is of theoretic as well as practical importance which motivated S.A. Levin and R. May to formulate a necessary and sufficient condition guaranteing the location of all the zeros of this polynomial inside the unit circle. We give a simple alternate proof of their criterion and, as the main result, present a complete list of all possible zero distributions the polynomial with respect to this circle.
Klíčová slova
Higher order linear difference equation; characteristic polynomial; zero distribution; asymptotic stability
Autoři
ČERMÁK, J.; JÁNSKÝ, J.
Rok RIV
2014
Vydáno
15. 3. 2014
ISSN
1584-2851
Periodikum
Carpathian Journal of Mathematics
Ročník
30
Číslo
1
Stát
Rumunsko
Strany od
55
Strany do
62
Strany počet
8
BibTex
@article{BUT101365,
author="Jan {Čermák} and Jiří {Jánský}",
title="On a generalization of the Levin-May Theorem",
journal="Carpathian Journal of Mathematics",
year="2014",
volume="30",
number="1",
pages="55--62",
issn="1584-2851"
}