摘要
This paper is mainly concerned with the S-asymptotically Bloch type periodicity.Firstly,we introduce a new notion of S-asymptotically Bloch type periodic functions,which can be seen as a generalization of concepts of S-asymptoticallyω-periodic functions and S-asymptoticallyω-anti-periodic functions.Secondly,we establish some fundamental properties on S-asymptotically Bloch type periodic functions.Finally,we apply the results obtained to investigate the existence and uniqueness of S-asymptotically Bloch type periodic mild solutions to some semi-linear differential equations in Banach spaces.
作者
常永奎
魏艳艳
Yong-Kui CHANG;Yanyan WEI(School of Mathematics and Statistics,Xidian University,Xi'an 710071,China)
基金
supported by NSF of Shaanxi Province(2020JM-183).