Detail publikace

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

HRABALOVÁ, J. TOMÁŠEK, P.

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

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

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

Autoři

HRABALOVÁ, J.; TOMÁŠEK, P.

Rok RIV

2013

Vydáno

18. 6. 2013

Nakladatel

Springer

Místo

Spolková republika Německo

ISSN

1687-1847

Periodikum

Advances in Difference Equations

Ročník

2013

Číslo

177

Stát

Spojené státy americké

Strany od

1

Strany do

10

Strany počet

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"
}