Publication detail

Asymptotic properties of the discretized pantograph equation

KUNDRÁT, P.

English title

Asymptotic properties of the discretized pantograph equation

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

Original abstract

The paper deals with the asymptotic properties of all solutions of the delay difference equation \Delta x_n=-ax_n+bx_\lfloor\frac{\tau(t_n)-t_0}{h}\rfloor, where a>0,b\neq 0 are reals. This equation represents the discretization of the corresponding delay differential equation. Our aim is to show the resemblance in the asymptotic bounds of solutions of the discrete and continuous equation and discuss some numerical problems connected with this investigation.

Released

2005-01-01

ISSN

0252-1938

Journal

Studia Universitatis Babes-Bolyai Mathematica

Volume

L

Number

1

Pages from–to

77–

Pages count

8

BIBTEX


@article{BUT42431,
  author="Petr {Tomášek}",
  title="Asymptotic properties of the discretized pantograph equation",
  journal="Studia Universitatis Babes-Bolyai Mathematica",
  year="2005",
  volume="L",
  number="1",
  pages="8",
  issn="0252-1938"
}