On a class of $(a,k)$-regularized $C$-resolvent families

In this paper, we investigate the basic structural properties of (analytic) q-exponentially equicontinuous $(a,k)$-regularized $C$-resolvent families in sequentially complete locally convex spaces. We provide some applications in fluid dynamics, linear thermoviscoelasticity, and illustrate obtained...

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Main Author: Marko Kostic
Format: Article
Language:English
Published: University of Szeged 2012-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1767
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spelling doaj-479987b51a6e44aea4cee0610f4af1202021-07-14T07:21:24ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752012-11-0120129412710.14232/ejqtde.2012.1.941767On a class of $(a,k)$-regularized $C$-resolvent familiesMarko Kostic0Faculty of Technical Sciences, Novi Sad, SerbiaIn this paper, we investigate the basic structural properties of (analytic) q-exponentially equicontinuous $(a,k)$-regularized $C$-resolvent families in sequentially complete locally convex spaces. We provide some applications in fluid dynamics, linear thermoviscoelasticity, and illustrate obtained theoretical results by several other examples.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1767q-exponentially equicontinuous $(ak)$-regularized $c$-resolvent familiesabstract volterra equationsabstract fractional equations
collection DOAJ
language English
format Article
sources DOAJ
author Marko Kostic
spellingShingle Marko Kostic
On a class of $(a,k)$-regularized $C$-resolvent families
Electronic Journal of Qualitative Theory of Differential Equations
q-exponentially equicontinuous $(a
k)$-regularized $c$-resolvent families
abstract volterra equations
abstract fractional equations
author_facet Marko Kostic
author_sort Marko Kostic
title On a class of $(a,k)$-regularized $C$-resolvent families
title_short On a class of $(a,k)$-regularized $C$-resolvent families
title_full On a class of $(a,k)$-regularized $C$-resolvent families
title_fullStr On a class of $(a,k)$-regularized $C$-resolvent families
title_full_unstemmed On a class of $(a,k)$-regularized $C$-resolvent families
title_sort on a class of $(a,k)$-regularized $c$-resolvent families
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2012-11-01
description In this paper, we investigate the basic structural properties of (analytic) q-exponentially equicontinuous $(a,k)$-regularized $C$-resolvent families in sequentially complete locally convex spaces. We provide some applications in fluid dynamics, linear thermoviscoelasticity, and illustrate obtained theoretical results by several other examples.
topic q-exponentially equicontinuous $(a
k)$-regularized $c$-resolvent families
abstract volterra equations
abstract fractional equations
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1767
work_keys_str_mv AT markokostic onaclassofakregularizedcresolventfamilies
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