Asymptotically Almost Periodic Sequence Solutions for a Class of Difference Equations

摘要

Differential equations is proposed when people study the variational equation of the orbits in discrete dynamical systems. It has important applications in many areas, including differential equations numerical methods, finite element method, control theory and computer science research. In recent years, many authors studied the properties of difference equations and applied them to discrete dynamical systems and differential equations with piecewise constant variables. This chapter uses the exponential dichotomy; the poly trophic exponent to give the sufficient conditions of differential equation asymptotically almost periodic sequence solution.