Space of Quasi-Periodic Limit Functions and Its Applications

Rui Xie, Zhinan Xia and Junwei Liu
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Rui Xie: Department of Mathematics, Tianjin University of Commerce, Tianjin 300134, China
Zhinan Xia: Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, Zhejiang, China
Junwei Liu: College of Science, Yanshan University, Qinhuangdao 066004, Hebei, China

Mathematics, 2019, vol. 7, issue 11, 1-21

Abstract: We introduce a class consisting of what we call quasi-periodic limit functions and then establish the relation between quasi-periodic limit functions and asymptotically quasi-periodic functions. At last, these quasi-periodic limit functions are applied to study the existence of asymptotically quasi-periodic solutions of abstract Cauchy problems.

Keywords: quasi-periodic limit functions; asymptotically quasi-periodic functions; abstract Cauchy problems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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