Perturbation theorems for convoluted -semigroups and cosine functions
M. Kostić (2010)
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M. Kostić (2010)
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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...
Marko Kostić (2010)
Publications de l'Institut Mathématique
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Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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