Asymptotic properties of the von Foerster-Lasota equation and indices of Orlicz spaces
This article concerns the asymptotic behaviour of the dynamical systems induced by the von Foerster-Lasota equation. We study chaoticity of the system in the sense of Devaney and its strong stability in Orlicz spaces generated by any phi-function. We apply Matuszewska-Orlicz indices to a descrip...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-11-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/300/abstr.html |
| _version_ | 1818650153182035968 |
|---|---|
| author | Antoni Leon Dawidowicz Anna Poskrobko |
| author_facet | Antoni Leon Dawidowicz Anna Poskrobko |
| author_sort | Antoni Leon Dawidowicz |
| collection | DOAJ |
| description | This article concerns the asymptotic behaviour of the dynamical systems
induced by the von Foerster-Lasota equation. We study chaoticity of
the system in the sense of Devaney and its strong stability in Orlicz
spaces generated by any phi-function. We apply Matuszewska-Orlicz
indices to a description of asymptotic properties considered semigroup. |
| first_indexed | 2024-12-17T01:45:41Z |
| format | Article |
| id | doaj.art-f2602805524a4104b6990093eecfe934 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-17T01:45:41Z |
| publishDate | 2016-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-f2602805524a4104b6990093eecfe9342022-12-21T22:08:12ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-11-012016300,19Asymptotic properties of the von Foerster-Lasota equation and indices of Orlicz spacesAntoni Leon Dawidowicz0Anna Poskrobko1 Jagiellonian Univ., Krakow, Poland Bialystok Univ. of Technology, Bialystok, Poland This article concerns the asymptotic behaviour of the dynamical systems induced by the von Foerster-Lasota equation. We study chaoticity of the system in the sense of Devaney and its strong stability in Orlicz spaces generated by any phi-function. We apply Matuszewska-Orlicz indices to a description of asymptotic properties considered semigroup.http://ejde.math.txstate.edu/Volumes/2016/300/abstr.htmlvon Foerster-Lasota equationstabilitychaosOrlicz spaceMatuszewska-Orlicz indices |
| spellingShingle | Antoni Leon Dawidowicz Anna Poskrobko Asymptotic properties of the von Foerster-Lasota equation and indices of Orlicz spaces Electronic Journal of Differential Equations von Foerster-Lasota equation stability chaos Orlicz space Matuszewska-Orlicz indices |
| title | Asymptotic properties of the von Foerster-Lasota equation and indices of Orlicz spaces |
| title_full | Asymptotic properties of the von Foerster-Lasota equation and indices of Orlicz spaces |
| title_fullStr | Asymptotic properties of the von Foerster-Lasota equation and indices of Orlicz spaces |
| title_full_unstemmed | Asymptotic properties of the von Foerster-Lasota equation and indices of Orlicz spaces |
| title_short | Asymptotic properties of the von Foerster-Lasota equation and indices of Orlicz spaces |
| title_sort | asymptotic properties of the von foerster lasota equation and indices of orlicz spaces |
| topic | von Foerster-Lasota equation stability chaos Orlicz space Matuszewska-Orlicz indices |
| url | http://ejde.math.txstate.edu/Volumes/2016/300/abstr.html |
| work_keys_str_mv | AT antonileondawidowicz asymptoticpropertiesofthevonfoersterlasotaequationandindicesoforliczspaces AT annaposkrobko asymptoticpropertiesofthevonfoersterlasotaequationandindicesoforliczspaces |