EUDML | Dichotomy and functional calculi.

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Displaying similar documents to “Dichotomy and $S^{\infty}$ functional calculi.”

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.

Mild integrated C-existence families

Shen Wang (1995)

Studia Mathematica

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We study mild n times integrated C-existence families without the assumption of exponential boundedness. We present several equivalent conditions for these families. Hille-Yosida type necessary and sufficient conditions are given for the exponentially bounded case.

Uniform exponential stability of linear periodic systems in a Banach space.

Cheban, D.N. (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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

Moukaddem, N. (2001)

Rendiconti del Seminario Matematico

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Exponential stability for periodic evolution families of bounded linear operators.

Buşe, C. (2001)

Rendiconti del Seminario Matematico

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Evolution semigroups for nonautonomous Cauchy problems.

Nickel, Gregor (1997)

Abstract and Applied Analysis

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On two-parameter regularized semigroups and the Cauchy problem.

Janfada, Mohammad (2009)

Abstract and Applied Analysis

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A spectral mapping theorem for semigroups solving PDEs with nonautonomous past.

Fragnelli, Genni (2003)

Abstract and Applied Analysis

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A characterization of exponential stability for periodic evolution families in terms of lower semicontinuous functionals.

Buşe, Constantin (2003)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Uniform exponential stability of linear almost periodic systems in Banach spaces.

Cheban, D.N. (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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alpha-times Integrated Semigroups (alpha in R-)

Milorad Mijatović, Stevan Pilipović (1997)

Matematički Vesnik

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Perturbation theorems for convoluted $C$ -semigroups and cosine functions

M. Kostić (2010)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

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