- Tytuł:
- On the approximation theorem of Wong-Zakai type for the Lasota operator
- Autorzy:
-
Dawidowicz, A. L.
Twardowska, K. - Powiązania:
- https://bibliotekanauki.pl/articles/255461.pdf
- Data publikacji:
- 2010
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
stochastic evolution equations
Wong-Zakai approximations
Lasota operator - Opis:
- We consider in this paper a stochastic evolution equation with Professor A. Lasota's operator as the infinitesimal generator of a strongly continuous semigroup of transformations and with Hammerstein operator connected with a noise being the Wiener process. We show that such evolution equation satisfies the Wong-Zakai type approximation theorem. The idea of the definition of the Lasota operator has the origin in the mathematical model of the creation and differentiation of cells in biology and medicine.
- Źródło:
-
Opuscula Mathematica; 2010, 30, 3; 255-270
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł