Detail publikace

Stability and Instability Regions for a Three Term Difference Equation

TOMÁŠEK, P.

Anglický název

Stability and Instability Regions for a Three Term Difference Equation

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

en

Originální abstrakt

The paper discusses stability and instability properties of difference equation y(n+1)+ay(n-l+1)+by(n-l)=0 with real parameters a, b. Beside known results about its asymptotic stability conditions a deeper analysis of instability properties is introduced. An instability degree of difference equation’s solution is introduced in analogy with theory of differential equations. Instability regions of a fixed degree are introduced and described in the paper. It is shown that dislocation of instability regions of various degrees obeys some rules and qualitatively depends on parity of difference equation’s order.

Anglický abstrakt

The paper discusses stability and instability properties of difference equation y(n+1)+ay(n-l+1)+by(n-l)=0 with real parameters a, b. Beside known results about its asymptotic stability conditions a deeper analysis of instability properties is introduced. An instability degree of difference equation’s solution is introduced in analogy with theory of differential equations. Instability regions of a fixed degree are introduced and described in the paper. It is shown that dislocation of instability regions of various degrees obeys some rules and qualitatively depends on parity of difference equation’s order.

Klíčová slova anglicky

Instability degree; linear difference equation; stability

Vydáno

11.02.2020

Nakladatel

Springer

Místo

Cham

ISBN

978-3-030-35501-2

ISSN

2194-1009

Kniha

Difference Equations and Discrete Dynamical Systems with Applications. ICDEA 2018.

Ročník

312

Číslo edice

312

Strany od–do

355–364

Počet stran

10

BIBTEX


@inproceedings{BUT162607,
  author="Petr {Tomášek},
  title="Stability and Instability Regions for a Three Term Difference Equation",
  booktitle="Difference Equations and Discrete Dynamical Systems with Applications. ICDEA 2018.",
  year="2020",
  volume="312",
  month="February",
  pages="355--364",
  publisher="Springer",
  address="Cham",
  isbn="978-3-030-35501-2",
  issn="2194-1009"
}