Publication result detail

Asymptotic properties of the discretized pantograph equation

KUNDRÁT, P.

Original Title

Asymptotic properties of the discretized pantograph equation

English Title

Asymptotic properties of the discretized pantograph equation

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

English 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.

Key words in English

Differential equation, difference equation

Authors

KUNDRÁT, P.

Released

01.01.2005

ISBN

0252-1938

Periodical

Studia Universitatis Babes-Bolyai Mathematica

Volume

L

Number

1

State

Romania

Pages from

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"
}