$\alpha $-times integrated semigroups: local and global

Volume 154 / 2003

Miao Li, Quan Zheng Studia Mathematica 154 (2003), 243-252 MSC: 47D62, 47D60, 47D03, 47D06. DOI: 10.4064/sm154-3-5

Abstract

We investigate the relations between local $\alpha $-times integrated semigroups and $(\alpha +1)$-times integrated Cauchy problems, and then the relations between global $\alpha $-times integrated semigroups and regularized semigroups.

Authors

  • Miao LiDepartment of Mathematics
    Sichuan University
    Chengdu 610064, P.R. China
    e-mail
  • Quan ZhengDepartment of Mathematics
    Huazhong University of Science and Technology
    Wuhan 430074, P.R. China
    e-mail

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