%0 Journal Article
%T Stability and Boundedness of Solutions and Existence of Almost Periodic Solution for Difference Equations<br>差分方程解的稳定性、有界性及概周期解的存在性
%A Yang Xitao
%A <br>杨喜陶
%J 数学物理学报(A辑)
%D 2008
%I 
%X By using Liapunov function, the author establishes sufficient and necessary conditions for the uniform stability, uniformly asymptotic stability and exponential stability of solutions for a high dimension difference equation. Moreover, the author also proves that the uniformly asymptotic stability implies the boundedness of solutions. A sufficient condition is given for theexistence and uniformly asymptotic stability of almost periodic solutions for almost periodic difference equations.
%K Difference equationzz
%K Stabilityzz
%K Boundednesszz
%K Almost periodicityzz
%K Liapunov functionzz<br>差分方程
%K 稳定性
%K 有界性
%K 概周期
%K Liapunov泛函
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=C90F4A0B06996B1151CC00DA38C52716&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=94C357A881DFC066&sid=971ECAFE8682845B&eid=2D207DE75533FA7E&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=1&reference_num=15