Degenerate C-distribution cosine functions and degenerate C-ultradistribution cosine function in locally convex spaces
Journal
Filomat
Date Issued
2017-05
Author(s)
D. Velinov, M. Kostic, S. Pilipovic
DOI
10.2298/FIL171075V
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.
Subjects