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"
}