A note on asymptotic stability conditions for delay difference equations

We obtain necessary and sufficient conditions for the asymptotic stability of the linear delay difference equation xn+1 + p Σj=1N xn-k+(j-1)l = 0, where n = 0,1,2,..., p is a real number, and k, l, and N are positive integers such that k > (N - 1)l. Copyright © 2005 Hindawi Publishing Corporation...

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Bibliographic Details
Main Authors: Kaewong T., Lenbury Y., Niamsup P.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-27344452896&partnerID=40&md5=6873ca558d956cc6840b70020ab9e54e
http://cmuir.cmu.ac.th/handle/6653943832/4974
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Institution: Chiang Mai University
Language: English
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Summary:We obtain necessary and sufficient conditions for the asymptotic stability of the linear delay difference equation xn+1 + p Σj=1N xn-k+(j-1)l = 0, where n = 0,1,2,..., p is a real number, and k, l, and N are positive integers such that k > (N - 1)l. Copyright © 2005 Hindawi Publishing Corporation.