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VOL. 53 | 2009 Asymptotic stability conditions for a delay difference system
Fumiyuki Kawahigashi, Hideaki Matsunaga

Editor(s) Saber Elaydi, Kazuo Nishimura, Mitsuhiro Shishikura, Nobuyuki Tose

Abstract

In this paper we obtain some necessary and sufficient conditions for the asymptotic stability of the zero solution of a delay difference system $$ x_n = A (x_{n-k} + x_{n-k-l}),\quad n = 0, 1, 2, \dots, $$ where $A$ is a $2 \times 2$ real constant matrix and $k$ and $l$ are positive integers.

Information

Published: 1 January 2009
First available in Project Euclid: 28 November 2018

zbMATH: 1179.39021
MathSciNet: MR2582413

Digital Object Identifier: 10.2969/aspm/05310141

Rights: Copyright © 2009 Mathematical Society of Japan

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