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Global stability for a delay difference equation

✍ Scribed by Taixiang Sun; Hongjian Xi; Mingde Xie

Book ID: 107619786
Publisher: Springer-Verlag
Year: 2008
Tongue: English
Weight: 238 KB
Volume: 29
Category: Article
ISSN: 1598-5865
DOI: 10.1007/s12190-008-0137-1

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In this paper, we give sufficient conditions under which every solution of the nonlinear difference equation with variable delay tends to zero as n --+ c<). Here, {Pn} is a nonnegative sequence, f : R --+ R is a continuous function with xf(x) > 0 if x ~ 0, and g : N --~ Z is nondecreasing and satis