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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
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" }