On the asymptotics of the difference equation with a proportional delay

被引：0

作者：

Kundrat, Petr ^{[1
]}

机构：

[1] Brno Univ Technol, Inst Math, Tech 2, CS-61090 Brno, Czech Republic

来源：

OPUSCULA MATHEMATICA | 2006年 / 26卷 / 03期

关键词：

asymptotics of difference equations; approximation methods for dynamical systems;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with asymptotic properties of a vector di ff erence equation with delayed argument Delta x(k) = Ax(k) + Bx b vertical bar gimel k broken vertical bar , 0 < gimel < 1, k = 0, 1, 2, . . . , where A; B are constant matrices and the term broken vertical bar gimel k broken vertical bar is the integer part of gimel k. Our aim is to emphasize some resemblances between the asymptotic behaviour of this delay di ff erence equation and its continuous counterpart.

引用

页码：499 / 506

页数：8

共 13 条

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