On two-parameter regularized semigroups and the Cauchy problem.
Janfada, Mohammad (2009)
Abstract and Applied Analysis
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Janfada, Mohammad (2009)
Abstract and Applied Analysis
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Milorad Mijatović, Stevan Pilipović (1997)
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Fundamenta Mathematicae
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Fragnelli, Genni (2003)
Abstract and Applied Analysis
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Li, Yuan-Chuan, Shaw, Sen-Yen (2007)
Abstract and Applied Analysis
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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: , 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...
Jaroslav Ježek, Tomáš Kepka (2006)
Acta Universitatis Carolinae. Mathematica et Physica
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Dorroh, J.R., Neuberger, J.W. (1993)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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