Publication detail

Asymptotic properties of solutions of the difference equation \Delta x(t)=-ax(t)+bx(\tau(t))

KUNDRÁT, P.

Original Title

Asymptotic properties of solutions of the difference equation \Delta x(t)=-ax(t)+bx(\tau(t))

Type

conference paper

Language

English

Original Abstract

In this paper we derive the asymptotic bounds of all solutions of the delay difference equation \Delta x(t)=-ax(t)+bx(\tau(t)), t\in[t_0,infinity) with real constants a>0, b\neq 0. This equation is obtained via the discretization of a delay differential equation and we show the resemblance in the asymptotic bounds of both equations.

Keywords

difference equation, delayed argument, asymptotic behaviour

Authors

KUNDRÁT, P.

RIV year

2005

Released

1. 1. 2005

Publisher

Chapman & Hall

Location

Boca Raton

ISBN

1-58488-536-X

Book

Proceedings of the Eighth International Conference on Difference Equations and Applications

Pages from

193

Pages to

200

Pages count

8

BibTex

@inproceedings{BUT14717,
  author="Petr {Tomášek}",
  title="Asymptotic properties of solutions of the difference equation \Delta x(t)=-ax(t)+bx(\tau(t))",
  booktitle="Proceedings of the Eighth International Conference on Difference Equations and Applications",
  year="2005",
  pages="8",
  publisher="Chapman & Hall",
  address="Boca Raton",
  isbn="1-58488-536-X"
}