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Notes on the asymptotic properties of some class of unbounded strongly continuous semigroups
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 15 (2019) no. 3, pp. 412-424 Cet article a éte moissonné depuis la source Math-Net.Ru

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The abstract Cauchy problem in the Banach and Hilbert space setting is considered and the asymptotic behavior of individual orbits of corresponding $C_0$-semigroup is studied. The possibility to find uniformly stable dense subset of initial states in the case of unstable semigroups (so-called polynomial stability) is discussed. Also, the existence of the fastest growing orbit (so-called maximal asymptotics) for certain class of semigroups is studied. 
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G. M. Sklyar; P. Polak. Notes on the asymptotic properties of some class of unbounded strongly continuous semigroups. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 15 (2019) no. 3, pp. 412-424. http://geodesic.mathdoc.fr/item/JMAG_2019_15_3_a7/

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