Detail publikace
On a generalization of the Levin-May Theorem
ČERMÁK, J. JÁNSKÝ, J.
Anglický název
On a generalization of the Levin-May Theorem
Typ
Článek WoS
Jazyk
en
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 anglicky
Higher order linear difference equation; characteristic polynomial; zero distribution; asymptotic stability
Vydáno
2014-03-15
ISSN
1584-2851
Časopis
Carpathian Journal of Mathematics
Ročník
30
Číslo
1
Strany od–do
55–62
Počet stran
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"
}