Detail publikace

On stability regions of the modified midpoint method for a linear delay differential equation

HRABALOVÁ, J. TOMÁŠEK, P.

Anglický název

On stability regions of the modified midpoint method for a linear delay differential equation

Typ

Článek WoS

Jazyk

en

Originální abstrakt

The paper deals with stability regions of certain discretization of linear differential equation with constant delay. The main aim of the paper is to analyze regions of asymptotic stability of modified midpoint method applied to a linear differential equation with constant delay. Obtained results are compared with other known results, particularly for Euler discretization. There is discussed a relation between asymptotic stability conditions in the discrete case and continuous case, too.

Klíčová slova anglicky

Difference equation, asymptotic stability, stability region, delay differential equation

Vydáno

2013-06-18

Nakladatel

Springer

Místo

Spolková republika Německo

ISSN

1687-1847

Časopis

Advances in Difference Equations

Ročník

2013

Číslo

177

Strany od–do

1–10

Počet stran

10

BIBTEX


@article{BUT99898,
  author="Jana {Dražková} and Petr {Tomášek}",
  title="On stability regions of the modified midpoint method for a linear delay differential equation",
  journal="Advances in Difference Equations",
  year="2013",
  volume="2013",
  number="177",
  pages="1--10",
  doi="10.1186/1687-1847-2013-177",
  issn="1687-1847"
}