Asymptotically almost automorphic solutions of differential equations with piecewise constant argument

• Autorzy: Hui-Sheng Ding , Shun-Mei Wan
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Asymptotically almost automorphic; Almost automorphic; Differential equations with piecewise constant argument; DEPCA

Kategorie tematyczne

• 34C27: Almost and pseudo-almost periodic solutions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 595-610

Daty

wydano

2017-05-11

otrzymano

2016-08-19

zaakceptowano

2017-02-28

online

2017-05-11

Twórcy

autor

Hui-Sheng Ding

• , , , ,

autor

Shun-Mei Wan

• , , , ,

Identyfikatory

DOI

10.1515/math-2017-0051