Antoni Leon Dawidowicz, Anna Poskrobko
Abstract:
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.
Submitted October 25, 2016. Published November 25, 2016.
Math Subject Classifications: 35B10, 35B35, 35B40.
Key Words: von Foerster-Lasota equation; stability; chaos; Orlicz space;
Matuszewska-Orlicz indices.
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Antoni Leon Dawidowicz Faculty of Mathematics and Computer Science Jagiellonian University ul. Lojasiewicza 6, 30-348 Krakow, Poland email: Antoni.Leon.Dawidowicz@im.uj.edu.pl |
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Anna Poskrobko Faculty of Computer Science Bialystok University of Technology ul. Wiejska 45A, 15-351 Bialystok, Poland email: a.poskrobko@pb.edu.pl |
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