Publication detail

Stability properties of a discretized neutral delay differential equation

HRABALOVÁ, J.

Original Title

Stability properties of a discretized neutral delay differential equation

Type

journal article - other

Language

English

Original Abstract

The paper discusses the asymptotic stability region of a discretization of a linear neutral delay differential equation $${x'}(t) = a x(t-\tau) + b {x'}(t-\tau).$$ We present necessary and sufficient conditions specifying this region and describe some of its properties.

Keywords

delay differential and difference equation, neutral type, asymptotic stability, the Euler method

Authors

HRABALOVÁ, J.

RIV year

2013

Released

29. 5. 2013

ISBN

1210-3195

Periodical

Tatra Mountains Mathematical Publications

Year of study

2013

Number

54

State

Czech Republic

Pages from

83

Pages to

92

Pages count

10

BibTex

@article{BUT99140,
  author="Jana {Dražková}",
  title="Stability properties of a discretized neutral delay differential equation",
  journal="Tatra Mountains Mathematical Publications",
  year="2013",
  volume="2013",
  number="54",
  pages="83--92",
  issn="1210-3195"
}