Simple view

Full metadata view

Authors

Statistics

On attractors of generalized semiflows with impulses

2020
journal article
article
10.1007/s12220-019-00143-0
Journal
The Journal of Geometric Analysis
100
Author
de Mello Bonotto Everaldo

Kalita Piotr
Volume
30
Pages
1412-1449
ISSN
1050-6926
eISSN
1559-002X
Keywords in English

dynamical systems

global attractors

invariance

state-dependent impulses

generalized semiflows

multivalued semiflows

nonuniqueness of solutions

Language
English
Journal language
English
Abstract in English

This paper is devoted to the study of global attractors for problems with state-dependent impulses and possible nonuniqueness of solutions. We provide the criteria under which there exists the global attractor, being on one hand an invariant set, and on the other hand given by the difference of the minimal compact attracting set and the impulsive set M. The new condition (T) used to get the global attractor invariance is discussed and compared with other conditions used in literature for impulsive problems. The theory is illustrated by several examples.

Affiliation
Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej
Scopus© citations
16
cris.lastimport.wos2024-04-09T20:09:19Z
dc.abstract.enThis paper is devoted to the study of global attractors for problems with state-dependent impulses and possible nonuniqueness of solutions. We provide the criteria under which there exists the global attractor, being on one hand an invariant set, and on the other hand given by the difference of the minimal compact attracting set and the impulsive set M. The new condition (T) used to get the global attractor invariance is discussed and compared with other conditions used in literature for impulsive problems. The theory is illustrated by several examples.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowejpl
dc.contributor.authorde Mello Bonotto, Everaldopl
dc.contributor.authorKalita, Piotr - 128604 pl
dc.date.accessioned2020-04-04T10:36:46Z
dc.date.available2020-04-04T10:36:46Z
dc.date.issued2020pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.physical1412-1449pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume30pl
dc.identifier.doi10.1007/s12220-019-00143-0pl
dc.identifier.eissn1559-002Xpl
dc.identifier.issn1050-6926pl
dc.identifier.projectDEC-2017/01/X/ST1/00408pl
dc.identifier.projectDEC-2017/25/B/ST1/00302pl
dc.identifier.projectUMO-2016/22/A/ST1/00077pl
dc.identifier.project310497/2016-7pl
dc.identifier.project2016/24711-1pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/153218
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeinne
dc.source.integratorfalse
dc.subject.endynamical systemspl
dc.subject.englobal attractorspl
dc.subject.eninvariancepl
dc.subject.enstate-dependent impulsespl
dc.subject.engeneralized semiflowspl
dc.subject.enmultivalued semiflowspl
dc.subject.ennonuniqueness of solutionspl
dc.subtypeArticlepl
dc.titleOn attractors of generalized semiflows with impulsespl
dc.title.journalThe Journal of Geometric Analysispl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T20:09:19Z
dc.abstract.enpl
This paper is devoted to the study of global attractors for problems with state-dependent impulses and possible nonuniqueness of solutions. We provide the criteria under which there exists the global attractor, being on one hand an invariant set, and on the other hand given by the difference of the minimal compact attracting set and the impulsive set M. The new condition (T) used to get the global attractor invariance is discussed and compared with other conditions used in literature for impulsive problems. The theory is illustrated by several examples.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej
dc.contributor.authorpl
de Mello Bonotto, Everaldo
dc.contributor.authorpl
Kalita, Piotr - 128604
dc.date.accessioned
2020-04-04T10:36:46Z
dc.date.available
2020-04-04T10:36:46Z
dc.date.issuedpl
2020
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.physicalpl
1412-1449
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
30
dc.identifier.doipl
10.1007/s12220-019-00143-0
dc.identifier.eissnpl
1559-002X
dc.identifier.issnpl
1050-6926
dc.identifier.projectpl
DEC-2017/01/X/ST1/00408
dc.identifier.projectpl
DEC-2017/25/B/ST1/00302
dc.identifier.projectpl
UMO-2016/22/A/ST1/00077
dc.identifier.projectpl
310497/2016-7
dc.identifier.projectpl
2016/24711-1
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/153218
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
inne
dc.source.integrator
false
dc.subject.enpl
dynamical systems
dc.subject.enpl
global attractors
dc.subject.enpl
invariance
dc.subject.enpl
state-dependent impulses
dc.subject.enpl
generalized semiflows
dc.subject.enpl
multivalued semiflows
dc.subject.enpl
nonuniqueness of solutions
dc.subtypepl
Article
dc.titlepl
On attractors of generalized semiflows with impulses
dc.title.journalpl
The Journal of Geometric Analysis
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Kalita, Piotr
No affiliation
de Mello Bonotto, Everaldo

* The migration of download and view statistics prior to the date of April 8, 2024 is in progress.

Views
17
Views per month
Views per city
Ashburn
6
Wroclaw
2
Des Moines
1
Dublin
1
Kilmallock
1
Krakow
1
Downloads
kalita_bonotto_on_attractors_of_generalized_semiflows_2020.pdf
40
kalita_bonotto_on_attractors_of_generalized_semiflows_2020.odt
21

Open Access

Thumbnail Image
License
CC-BY

Except as otherwise noted, this item is licensed under : Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa

Collections
Research publications
Exact sciences
ROD UJ