S-ASYMPTOTICALLY BLOCH TYPE PERIODIC SOLUTIONS TO SOME SEMI-LINEAR EVOLUTION EQUATIONS IN BANACH SPACES  

作　　者：Yong-Kui CHANG Yanyan WEI 常永奎;魏艳艳(School of Mathematics and Statistics,Xidian University,Xi'an 710071,China)

机构地区：[1]School of Mathematics and Statistics,Xidian University,Xi'an 710071,China

出　　处：《Acta Mathematica Scientia》2021年第2期413-425,共13页数学物理学报（B辑英文版）

基　　金：supported by NSF of Shaanxi Province(2020JM-183).

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.

关 键 词：S-asymptotically Bloch type periodic functions S-asymptoticallyωantiperiodic functions evolution equations 

分 类 号：O177.2[理学—数学]