Stability and Boundedness of Solutions and Existence of Almost Periodic Solution for Difference Equations
差分方程解的稳定性、有界性及概周期解的存在性

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.