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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.
DOI: 10.2298/FIL171075V
Appears in Collections:Faculty of Civil Engineering: Journal Articles

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