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Criteria for the Asymptotic Stability of Solutions of Dynamical Systems

✍ Scribed by K. G. Valeev; I. A. Dzhalladova

Book ID
110291639
Publisher
Springer
Year
2000
Tongue
English
Weight
79 KB
Volume
52
Category
Article
ISSN
0041-5995

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Strong Asymptotic Stability of Linear Dy
Strong Asymptotic Stability of Linear Dynamical Systems in Banach Spaces
✍ F. Huang πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 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}