M. Kostić, S. Pilipović, D. Velinov, “$C$-distribution semigroups and $C$-ultradistribution semigroups in locally convex spaces”, Sibirsk. Mat. Zh., 2017, Volume 58, Number 3,Pages 611

This article is cited in 4 papers

$C$-distribution semigroups and $C$-ultradistribution semigroups in locally convex spaces

M. Kostić^a, S. Pilipović^b, D. Velinov^c

^a Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia
^b Department for Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia
^c Department for Mathematics, Faculty of Civil Engineering, Ss. Cyril and Methodius University, Skopje, Macedonia

Abstract: The main purpose of this paper is to study $C$-distribution semigroups and $C$-ultradistribution semigroups in the setting of sequentially complete locally convex spaces. We provide a few important theoretical novelties in this field and some interesting examples. Under consideration are stationary dense operators in a sequentially complete locally convex space.

Keywords: $C$-distribution semigroup, $C$-ultradistribution semigroup, integrated $C$-semigroup, convoluted $C$-semigroups, well-posedness, locally convex space.

UDC: 517.98

MSC: 47D06, 47D60, 47D62, 47D99, 45N05

Received: 12.12.2015

DOI: 10.17377/smzh.2017.58.311