Asymptotically almost automorphic solutions of differential equations with piecewise constant argument

Hui-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 -