Uniformly rd-piecewise almost periodic functions with applications to the analysis of impulsive Δ-dynamic system on time scales

作者：

Highlights：

• We introduce some new concepts of uniformly rd-piecewise almost periodic functions on time scales and obtain some properties.

• Some new estimation inequalities and completely new theorems are established on time scales for impulsive dynamic systems.

• Several applications are given to illustrate our feasible results.

摘要

•We introduce some new concepts of uniformly rd-piecewise almost periodic functions on time scales and obtain some properties.•Some new estimation inequalities and completely new theorems are established on time scales for impulsive dynamic systems.•Several applications are given to illustrate our feasible results.

论文关键词：Time scales,Uniformly rd-piecewise almost periodic functions,Exponential dichotomy,Impulsive dynamic systems,Almost periodic solutions

论文评审过程：Available online 14 March 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.02.054