Perturbation theorems for convoluted -semigroups and cosine functions
M. Kostić (2010)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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M. Kostić (2010)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Janfada, Mohammad (2009)
Abstract and Applied Analysis
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M. Hieber, A. Holderrieth, F. Neubrander (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Marko Kostić (2008)
Publications de l'Institut Mathématique
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Miao Li, Fa-lun Huang, Quan Zheng (2001)
Studia Mathematica
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We introduce the notion of a local n-times integrated C-semigroup, which unifies the classes of local C-semigroups, local integrated semigroups and local C-cosine functions. We then study its relations to the C-wellposedness of the (n + 1)-times integrated Cauchy problem and second order abstract Cauchy problem. Finally, a generation theorem for local n-times integrated C-semigroups is given.
Miao Li, Quan Zheng (2003)
Studia Mathematica
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We investigate the relations between local α-times integrated semigroups and (α + 1)-times integrated Cauchy problems, and then the relations between global α-times integrated semigroups and regularized semigroups.
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...
R. de Laubenfels (1990)
Semigroup forum
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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.
Zheng, Quan (1996)
International Journal of Mathematics and Mathematical Sciences
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S.Y. Shaw, Y.C. Li (1993)
Semigroup forum
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Nickel, Gregor (1997)
Abstract and Applied Analysis
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