Publication detail

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

KUNDRÁT, P.

English title

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

Type

Paper in proceedings (conference paper)

Language

en

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 in English

difference equation, delayed argument, asymptotic behaviour

Released

2005-01-01

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–to

193–

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"
}