Detail publikačního výsledku

Asymptotic properties of the discretized pantograph equation

KUNDRÁT, P.

Originální název

Asymptotic properties of the discretized pantograph equation

Anglický název

Asymptotic properties of the discretized pantograph equation

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova v angličtině

Differential equation, difference equation

Autoři

KUNDRÁT, P.

Vydáno

01.01.2005

ISSN

0252-1938

Periodikum

Studia Universitatis Babes-Bolyai Mathematica

Svazek

L

Číslo

1

Stát

Rumunsko

Strany od

77

Strany počet

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"
}