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

Weiwei Hu

doi:10.1016/j.jmaa.2015.08.061

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

Weiwei Hu

Institute for Mathematics and its Applications

Research output: Contribution to journal › Article › peer-review

9 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 language	English (US)
Article number	19758
Pages (from-to)	1614-1625
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	433
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2015.08.061
State	Published - Jan 15 2016

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Inc.

Keywords

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

Publisher link

10.1016/j.jmaa.2015.08.061

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