Composition of piecewise pseudo almost periodic functions and applications to abstract impulsive differential equations

Advances in Difference Equations

Junwei Liu¹  Chuanyi Zhang¹ 

[1] Department of Mathematics, Harbin Institute of Technology, Harbin, P.R. China

关键词: piecewise pseudo almost periodic functions;    composition theorem;    mild solutions;    impulsive differential equations;   

DOI  :  10.1186/1687-1847-2013-11

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce the concept of piecewise pseudo almost periodic functions on a Banach space and establish some composition theorems of piecewise pseudo almost periodic functions. We apply these composition theorems to investigate the existence of piecewise pseudo almost periodic (mild) solutions to abstract impulsive differential equations. In addition, the stability of piecewise pseudo almost periodic solutions is considered.

【 授权许可】

CC BY