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VOL. 53 | 2009 A note on asymptotic stability condition for delay difference equations
Piyapong Niamsup

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

Abstract

In this paper, we obtain the necessary and sufficient condition for the asymptotic stability of the linear delay difference equation $$ x_{n+1} - x_{n-1} + p \sum_{j=1}^{N} x_{n-k+(j-1)l} = 0 $$ where $n = 0, 1, 2, \dots,\ p$ is a real number, and $k$, $l$, and $N$ are positive integers such that $k \gt (N - 1)l$.

Information

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

zbMATH: 1179.39023
MathSciNet: MR2582418

Digital Object Identifier: 10.2969/aspm/05310189

Subjects:
Primary: 39A11

Rights: Copyright © 2009 Mathematical Society of Japan

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