Antoni Leon Dawidowicz, Anna Poskrobko
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
ul. Lojasiewicza 6, 30-348 Krakow, Poland
| Anna Poskrobko |
Faculty of Computer Science
Bialystok University of Technology
ul. Wiejska 45A, 15-351 Bialystok, Poland
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