On stability of N-times integrated semigroups with nonquasianalytic growth
classification
🧮 math.FA
keywords
semigroupsintegratedstabilitygrowthnonquasianalytictheoremtimesbehaviour
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We discuss the behaviour at infinity of $n$-times integrated semigroups with nonquasianalytic growth and invertible generator. The results obtained extend in this setting a theorem of O. El Mennaoui on stability of bounded once integrated semigroups, and (partially) a theorem of Q. P. V$\tilde{\rm u}$ on stability of $C_0$-semigroups.
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