一类差分方程的渐近概周期序列解的存在性  

Existence of asymptotically almost periodic sequence solutions for some difference equations

作　　者：张敬信[1] 姚慧丽[1] 许广涛[1] 

机构地区：[1]哈尔滨理工大学数学系,哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2007年第6期818-821,共4页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金(天元基金)资助项目(10626014);黑龙江省教育厅科学技术研究项目(10051057)

摘　　要：差分方程理论在很多数学分支都有重要应用。根据差分方程已有的理论知在指数多分的条件下,一类线性非齐次差分方程存在唯一的由Green函数表示的有界序列解。利用指数多分性,给出了这类差分方程的渐近概周期序列解的存在的一个充分条件,并证明在指数二分的条件下,渐近概周期序列解还是唯一的。The theory of difference equations has important implication in many branches of mathematics. By the theory of difference equations, under the supposition of Exponential trichotomy, some non - homogeneous difference equations have unique bounded sequence solutions denoted by Greeng function. A sufficient condition of the existence of asymptotically almost periodic sequence solutions of the difference equations is given by using the property of exponential trichotomy. And it is shown that asymptotically almost periodic sequence solution is unique by the supposition of exponential dichotomy.

关 键 词：差分方程 渐近概周期序列解 指数多分 

分 类 号：O177.2[理学—数学]