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 NameAffiliation
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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Abstract:
      Consider the following difference equation: x(n+1)-x(n)=F(n,xn),n∈Z+ ,F:Z+×Cd(M)→R,这里Cd(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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