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Sibirsk. Mat. Zh., 2017, Volume 58, Number 3, Pages 611–631 (Mi smj2884)  

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

M. Kostića, S. Pilipovićb, D. Velinovc

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.

Funding Agency Grant Number
Ministry of Education, Science and Technical Development of Serbia 174024
The authors were partially supported by the Ministry of Science and Technological Development, Republic of Serbia (Grant 174024).


DOI: https://doi.org/10.17377/smzh.2017.58.311

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English version:
Siberian Mathematical Journal, 2017, 58:3, 476–492

Bibliographic databases:

UDC: 517.98
MSC: 47D06, 47D60, 47D62, 47D99, 45N05
Received: 12.12.2015

Citation: M. Kostić, S. Pilipović, D. Velinov, “$C$-distribution semigroups and $C$-ultradistribution semigroups in locally convex spaces”, Sibirsk. Mat. Zh., 58:3 (2017), 611–631; Siberian Math. J., 58:3 (2017), 476–492

Citation in format AMSBIB
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\paper $C$-distribution semigroups and $C$-ultradistribution semigroups in locally convex spaces
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\yr 2017
\vol 58
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\pages 611--631
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\jour Siberian Math. J.
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\pages 476--492
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