On the exponential stability and dichotomy of $C_0$-semigroups

Phóng Vũ

Displaying similar documents to “On the exponential stability and dichotomy of $C_{0}$ -semigroups”

Aronszajn-Smith conditions for open $C^{1}$ sets. (Conditions d'Aronszajn-Smith pour les ouverts de classe $C^{1}$ .)

Moukaddem, N. (2001)

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Exponential stability for periodic evolution families of bounded linear operators.

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Almost periodic and strongly stable semigroups of operators

Vũ Phóng (1997)

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This paper is chiefly a survey of results obtained in recent years on the asymptotic behaviour of semigroups of bounded linear operators on a Banach space. From our general point of view, discrete families of operators $T^{n} : n = 0, 1, . . .$ on a Banach space X (discrete one-parameter semigroups), one-parameter $C_{0}$ -semigroups $T (t) : t \geq 0$ on X (strongly continuous one-parameter semigroups), are particular cases of representations of topological abelian semigroups. Namely, given a topological abelian semigroup S, a family...

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

Yuri Tomilov (1999)

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Some statements of the paper [4] are corrected.

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Danilo Rastović (1995)

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On α-times integrated C-semigroups and the abstract Cauchy problem

Chung-Cheng Kuo, Sen-Yen Shaw (2000)

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This paper is concerned with α-times integrated C-semigroups for α > 0 and the associated abstract Cauchy problem: $u^{'} (t) = A u (t) + \frac{t^{α - 1}}{Γ (α)} x$ , t >0; u(0) = 0. We first investigate basic properties of an α-times integrated C-semigroup which may not be exponentially bounded. We then characterize the generator A of an exponentially bounded α-times integrated C-semigroup, either in terms of its Laplace transforms or in terms of existence of a unique solution of the above abstract Cauchy problem for every x...

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Displaying similar documents to “On the exponential stability and dichotomy of C 0 -semigroups”

Displaying similar documents to “On the exponential stability and dichotomy of $C_{0}$ -semigroups”