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Asymptotic behavior of periodic dynamical systems on banach spaces

โœ Scribed by Marshall Slemrod


Book ID
112746734
Publisher
Springer
Year
1970
Tongue
English
Weight
411 KB
Volume
86
Category
Article
ISSN
0373-3114

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Strong Asymptotic Stability of Linear Dy
โœ F. Huang ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 583 KB

In this paper we investigate the strong asymptotic stability of linear dynamical systems in Banach spaces. Let \(\alpha\) be the infinitesimal generator of a \(C_{0}\)-semigroup \(e^{t i f f}\) of bounded linear operators in a Banach space \(X\). We first show that if \(e^{t . \alpha}\) is a \(C_{0}