Open AccessA note on asymptotic stability conditions for delay difference equations
Author(s) -
Theeradach Kaewong,
Yongwimon Lenbury,
Piyapong Niamsup
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.1007
Subject(s) - algorithm , computer science
We obtain necessary and sufficient conditions forthe asymptotic stability of the linear delay difference equationxn+1+p∑j=1Nxn−k+(j−1)l=0, where n=0,1,2,…, is a real number, and k, l, and N are positive integerssuch that k>(N−1)l
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