Stepanov-Like Asymptotical Almost Periodic Functions and an Application. (4th December 2018)

• Record Type: Journal Article
• Authors: Li, Yongkun; Wang, Yaolu; Xiang, Jianglian
• Other Names: Avery Richard I. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2018(2018)
• Publication Date: 2018-12-04
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2018/8208323
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we first study some basic properties of Stepanov-like asymptotical almost periodic functions including the completeness of the space of Stepanov-like asymptotical almost periodic functions. Then, as an application, based on these and the contraction mapping principle, we obtain sufficient conditions for the existence and uniqueness of Stepanov-like asymptotical almost periodic solutions for a class of semilinear delay differential equations.