摘要
作者通过Liapunov泛函建立了一类高维差分方程解一致稳定、一致渐近稳定及指数渐近稳定的充要条件.此外,作者还证明了解的一致渐近稳定性蕴含解的有界性,同时也给出了概周期差分方程存在概周期解的一个充分条件.
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 the existence and uniformly asymptotic stability of almost periodic solutions for almost periodic difference equations.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2008年第5期870-878,共9页
Acta Mathematica Scientia
基金
国家自然科学基金(10671021)
湖南科技大学博士基金(E50642)
中南大学博士后基金资助