Aronszajn-Smith conditions for open sets. (Conditions d'Aronszajn-Smith pour les ouverts de classe .)
Moukaddem, N. (2001)
Rendiconti del Seminario Matematico
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Moukaddem, N. (2001)
Rendiconti del Seminario Matematico
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Buşe, C. (2001)
Rendiconti del Seminario Matematico
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Vũ Phóng (1997)
Banach Center Publications
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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 on a Banach space X (discrete one-parameter semigroups), one-parameter -semigroups 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...
Yuri Tomilov (1999)
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Some statements of the paper [4] are corrected.
Buşe, Constantin (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Danilo Rastović (1995)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Chung-Cheng Kuo, Sen-Yen Shaw (2000)
Studia Mathematica
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This paper is concerned with α-times integrated C-semigroups for α > 0 and the associated abstract Cauchy problem: , 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...
Elkoutri, Abdelkader, Taoudi, Mohamed Aziz (2003)
International Journal of Mathematics and Mathematical Sciences
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Mihail Megan, Alin Pogan (2000)
Annales mathématiques Blaise Pascal
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