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|Title:||Degenerate C-distribution cosine functions and degenerate C-ultradistribution cosine function in locally convex spaces||Authors:||D. Velinov, M. Kostic, S. Pilipovic||Keywords:||Degenerate C-distribution cosine functions, degenerate C-ultradistribution cosine functions, degenerate C-distribution semigroups, degenerate C-ultradistribution semigroups, subgenerators, multivalued linear operators, locallay convex spaces||Issue Date:||May-2017||Publisher:||Faculty of Sciences and Mathematics, University of Nis, Serbia||Project:||Grant 174024||Journal:||Filomat||Abstract:||The main purpose of this paper is to investigate degenerate C-(ultra)distribution cosine functions in the setting of barreled sequentially complete locally convex spaces. In our approach, the infinitesimal generator of a degenerate C-(ultra)distribution cosine function is a multivalued linear operator and the regularizing operator C is not necessary injective. We provide a few important theoretical novelties, considering also exponential subclasses of degenerate C-(ultra)distribution cosine functions.||URI:||http://hdl.handle.net/20.500.12188/2332||DOI:||10.2298/FIL171075V|
|Appears in Collections:||Faculty of Civil Engineering: Journal Articles|
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