On the asymptotics of the difference equation with a proportional delay

This paper deals with asymptotic properties of a vector difference equation with delayed argument \[\Delta x_k=Ax_k+Bx_{\lfloor\lambda k\rfloor},\qquad 0\lt\lambda\lt 1,\quad k=0,1,2,\dots,\] where \(A\), \(B\) are constant matrices and the term \(\lfloor\lambda k\rfloor\) is the integer part of \(\...

Full description

Bibliographic Details
Main Author: Petr Kundrát
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2006-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol26/3/art/opuscula_math_2638.pdf