Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiquesVol. CXXVII, No. 28, pp. 75–92 (2003)
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Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques Vol. CXXVII, No. 28, pp. 75–92 (2003) |
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Convoluted $C$-cosine functions and convoluted $C$-semigroupsM. KosticInstitute of Mathematics, University of Novi Sad, Trg Dositeja Obradovica 4, 21000 Novi Sad, Serbia and Montenegro, e-mail: makimare@neobee.netAbstract: Convoluted $C$-cosine functions and convoluted $C$-semigroups are introduced and investigated.Then their relations to the well-posedness of second order abstract Cauchy problem and the $\Theta $-convoluted $C$-regularized Cauchy problem are studied. Generation results for convoluted $C$-semigroups are given. Keywords: convoluted $C$-cosine functions, convoluted $C$% -semigroups, well-posedness Classification (MSC2000): 47D05,47D06,47D60 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 17 Sep 2003. This page was last modified: 20 Jun 2011.
© 2003 Mathematical Institute of the Serbian Academy of Science and Arts
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