Publication result detail

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

HRABALOVÁ, J.; TOMÁŠEK, P.

Original Title

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

English Title

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

Type

WoS Article

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

HRABALOVÁ, J.; TOMÁŠEK, P.

RIV year

2014

Released

18.06.2013

Publisher

Springer

Location

Spolková republika Německo

ISBN

1687-1847

Periodical

Advances in Difference Equations

Volume

2013

Number

177

State

United States of America

Pages from

1

Pages to

10

Pages count

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"
}