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Space of Quasi-Periodic Limit Functions and Its Applications

Author

Listed:
  • 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)

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.

Suggested Citation

  • Rui Xie & Zhinan Xia & Junwei Liu, 2019. "Space of Quasi-Periodic Limit Functions and Its Applications," Mathematics, MDPI, vol. 7(11), pages 1-21, November.
  • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1132-:d:288588
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