Publication detail

Discretized pantograph equation with a forcing term: Note on asymptotic estimate

KUNDRÁT, P.

Czech title

Diskretizovaná rovnice pantografu: Poznámka k asymptotickému odhadu

English title

Discretized pantograph equation with a forcing term: Note on asymptotic estimate

Type

conference paper

Language

en

Original abstract

The paper deals with the asymptotic estimate of solutions of a difference equation, which arises as a discretization of pantograph equation with a forcing term. The term with delayed argument is approximated via linear interpolation between the closest mesh points. The derived asymptotic estimate is compared with the estimate corresponding to the continuous counterpart.

Czech abstract

Článek se zabývá asymptotickým odhadem řešení diferenční rovnice, která je odvozena diskretizací rovnice pantografu se silovým členem. Člen se zpožděným argumentem je aproximován lineární interpolací mezi dvěma nejbližšími uzly sítě. Odvozený asymtptotický odhad je srovnán s odpovídajícím výsledkem v původním spojitém případě.

English abstract

The paper deals with the asymptotic estimate of solutions of a difference equation, which arises as a discretization of pantograph equation with a forcing term. The term with delayed argument is approximated via linear interpolation between the closest mesh points. The derived asymptotic estimate is compared with the estimate corresponding to the continuous counterpart.

Keywords in Czech

asymptotický odhad, diferenční rovnice

Keywords in English

asymptotic estimate, difference equation

RIV year

2010

Released

01.11.2010

Publisher

World Scientific Publishing Co.

Location

London

ISBN

978-981-4287-64-7

Book

DISCRETE DYNAMICS AND DIFFERENCE EQUATIONS Proceedings of the Twelfth International Conference on Difference Equations and Applications

Pages from–to

307–312

Pages count

6

BIBTEX


@inproceedings{BUT36429,
  author="Petr {Tomášek},
  title="Discretized pantograph equation with a forcing term: Note on asymptotic estimate",
  booktitle="DISCRETE DYNAMICS AND DIFFERENCE EQUATIONS Proceedings of the Twelfth International Conference on Difference Equations and Applications",
  year="2010",
  month="November",
  pages="307--312",
  publisher="World Scientific Publishing Co.",
  address="London",
  isbn="978-981-4287-64-7"
}