# Asymptotically almost automorphic solutions of differential equations with piecewise constant argument

Open Mathematics (2017)

- Volume: 15, Issue: 1, page 595-610
- ISSN: 2391-5455

## Access Full Article

top## Abstract

top## How to cite

topHui-Sheng Ding, and Shun-Mei Wan. "Asymptotically almost automorphic solutions of differential equations with piecewise constant argument." Open Mathematics 15.1 (2017): 595-610. <http://eudml.org/doc/288114>.

@article{Hui2017,

abstract = {This paper is concerned with the existence and uniqueness of asymptotically almost automorphic solutions to differential equations with piecewise constant argument. To study that, we first introduce several notions about asymptotically almost automorphic type functions and obtain some properties of such functions. Then, on the basis of a systematic study on the associated difference system, the existence and uniqueness theorem is established. Compared with some earlier results, we do not assume directly that the Green’s function is a Bi-almost automorphic type function.},

author = {Hui-Sheng Ding, Shun-Mei Wan},

journal = {Open Mathematics},

keywords = {Asymptotically almost automorphic; Almost automorphic; Differential equations with piecewise constant argument; DEPCA; asymptotically almost automorphic; almost automorphic; differential equations with piecewise constant argument},

language = {eng},

number = {1},

pages = {595-610},

title = {Asymptotically almost automorphic solutions of differential equations with piecewise constant argument},

url = {http://eudml.org/doc/288114},

volume = {15},

year = {2017},

}

TY - JOUR

AU - Hui-Sheng Ding

AU - Shun-Mei Wan

TI - Asymptotically almost automorphic solutions of differential equations with piecewise constant argument

JO - Open Mathematics

PY - 2017

VL - 15

IS - 1

SP - 595

EP - 610

AB - This paper is concerned with the existence and uniqueness of asymptotically almost automorphic solutions to differential equations with piecewise constant argument. To study that, we first introduce several notions about asymptotically almost automorphic type functions and obtain some properties of such functions. Then, on the basis of a systematic study on the associated difference system, the existence and uniqueness theorem is established. Compared with some earlier results, we do not assume directly that the Green’s function is a Bi-almost automorphic type function.

LA - eng

KW - Asymptotically almost automorphic; Almost automorphic; Differential equations with piecewise constant argument; DEPCA; asymptotically almost automorphic; almost automorphic; differential equations with piecewise constant argument

UR - http://eudml.org/doc/288114

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.