TY  - JOUR
ID  - Dawidowicz2010
LB  - Dawidowicz2010
AU  - Dawidowicz, Antoni Leon
AU  - Twardowska, Krystyna
TI  - On the approximation theorem of Wong-Zakai type for the Lasota operator
ST  - On the approximation theorem of Wong-Zakai type for the Lasota operator
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2010
VL  - 30
IS  - 3
SP  - 255
EP  - 270
DO  - http://dx.doi.org/10.7494/OpMath.2010.30.3.255
UR  - http://dx.doi.org/10.7494/OpMath.2010.30.3.255
AB  - 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.
KW  - stochastic evolution equations
KW  - Wong-Zakai approximations
KW  - Lasota operator
SN  - 1232-9274
ER  -