Differentiability and compactness of the C0-semigroup generated by the reparable system with finite repair time

Weiwei Hu

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

This paper addresses the properties of the C0-semigroup generated by the reparable system with finite repair time. In particular, it can be shown that the C0-semigroup is eventually differentiable and eventually compact, which is not true for the case when the repair time is infinite, as discussed in [9] and [11].

Original languageEnglish (US)
Article number19758
Pages (from-to)1614-1625
Number of pages12
JournalJournal of Mathematical Analysis and Applications
Volume433
Issue number2
DOIs
StatePublished - Jan 15 2016

Keywords

  • C-semigroup
  • Eventual compactness
  • Eventual differentiability
  • Finite repair time
  • Reparable system

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