Detail publikace

The stability analysis of a discretized pantograph equation

KUNDRÁT, P. JÁNSKÝ, J.

Anglický název

The stability analysis of a discretized pantograph equation

Typ

Článek recenzovaný mimo WoS a Scopus

Jazyk

en

Originální abstrakt

The paper deals with a difference equation arising from the scalar pantograph equation via the backward Euler discretization. A case when the solution tends to zero but after reaching a certain index it loses this tendency is discussed. We analyse this problem and estimate the value of such an index. Furthermore, we show that the utilized proof technique enables us to investigate some other numerical formulae, too.

Klíčová slova anglicky

pantograph equation, numerical solution, stability

Vydáno

2011-12-08

ISSN

0862-7959

Časopis

Mathematica Bohemica

Ročník

136

Číslo

4

Strany od–do

385–394

Počet stran

10

BIBTEX


@article{BUT75400,
  author="Petr {Tomášek} and Jiří {Jánský}",
  title="The stability analysis of a discretized pantograph equation",
  journal="Mathematica Bohemica",
  year="2011",
  volume="136",
  number="4",
  pages="385--394",
  issn="0862-7959"
}