alpha-times Integrated Semigroups (alpha in R-)
Milorad Mijatović, Stevan Pilipović (1997)
Matematički Vesnik
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Milorad Mijatović, Stevan Pilipović (1997)
Matematički Vesnik
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Bahuguna, D., Srivastava, S.K. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Janfada, Mohammad (2009)
Abstract and Applied Analysis
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M. Kostić (2010)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Rincon, L.A. (1998)
Electronic Communications in Probability [electronic only]
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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...
Fragnelli, Genni (2003)
Abstract and Applied Analysis
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Mejri, Hassen, Mliki, Ezzedine (2010)
Abstract and Applied Analysis
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Štefan Schwarz (1951)
Czechoslovak Mathematical Journal
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