Stepanov-Like Asymptotical Almost Periodic Functions and an Application

Stepanov-Like Asymptotical Almost Periodic Functions and an Application

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 suffic...

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Main Authors: Yongkun Li, Yaolu Wang, Jianglian Xiang
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/8208323
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spelling doaj-784a0f40c14346d9bd80714b25a1c4952020-11-24T23:30:10ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/82083238208323Stepanov-Like Asymptotical Almost Periodic Functions and an ApplicationYongkun Li0Yaolu Wang1Jianglian Xiang2Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaIn 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.http://dx.doi.org/10.1155/2018/8208323
collection DOAJ
language English
format Article
sources DOAJ
author Yongkun Li
Yaolu Wang
Jianglian Xiang
spellingShingle Yongkun Li
Yaolu Wang
Jianglian Xiang
Stepanov-Like Asymptotical Almost Periodic Functions and an Application
Journal of Function Spaces
author_facet Yongkun Li
Yaolu Wang
Jianglian Xiang
author_sort Yongkun Li
title Stepanov-Like Asymptotical Almost Periodic Functions and an Application
title_short Stepanov-Like Asymptotical Almost Periodic Functions and an Application
title_full Stepanov-Like Asymptotical Almost Periodic Functions and an Application
title_fullStr Stepanov-Like Asymptotical Almost Periodic Functions and an Application
title_full_unstemmed Stepanov-Like Asymptotical Almost Periodic Functions and an Application
title_sort stepanov-like asymptotical almost periodic functions and an application
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2018-01-01
description 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.
url http://dx.doi.org/10.1155/2018/8208323
work_keys_str_mv AT yongkunli stepanovlikeasymptoticalalmostperiodicfunctionsandanapplication
AT yaoluwang stepanovlikeasymptoticalalmostperiodicfunctionsandanapplication
AT jianglianxiang stepanovlikeasymptoticalalmostperiodicfunctionsandanapplication
_version_ 1725542469814190080

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