A note on stability properties of integrated semigroups

Danilo Rastović

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Displaying similar documents to “A note on stability properties of integrated semigroups”

Corrigendum to “On the spectral bound of the generator of a $C_{0}$ -semigroup” (Studia Math. 125 (1997), 23-33)

Yuri Tomilov (1999)

Studia Mathematica

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Some statements of the paper [4] are corrected.

On the exponential stability and dichotomy of $C_{0}$ -semigroups

Phóng Vũ (1999)

Studia Mathematica

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A characterization of exponentially dichotomic and exponentially stable $C_{0}$ -semigroups in terms of solutions of an operator equation of Lyapunov type is presented. As a corollary a new and shorter proof of van Neerven’s recent characterization of exponential stability in terms of boundedness of convolutions of a semigroup with almost periodic functions is given.