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Chinese
Uniformly Asymptotic Stability for a Class ofDifference Equations with Infinite Delays
Received:January 11, 1999
Key Words
:
difference equation
infinite delay
uniformly asymptotic stability.
Fund Project
:
Author Name
Affiliation
CHEN Wu-hua
Dept. of Math. & Comp. Sci.
Guangxi Univ. of Nationalities
Nanning
China
Dept. of Cont. Sci. & Eng.
Huazhong University of Science and Technology
Wuhan
China
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:
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Abstract
:
Consider the following difference equation: x(n+1)-x(n)=F(n,x
n
),n∈Z
+
,F:Z
+
×C
d
(M)→R,这里C
d
(M)=(?). We obtain sufficientconditions for the uniform stability and uniformly asymptotic stability of the zero solution ofthe above equation.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2002.02.024
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