Temat: stochastic evolution equations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

Tytuł:: Existence and approximate controllability of Sobolev type fractional stochastic evolution equations
Autorzy:: Mahmudov, N. I.
Powiązania:: https://bibliotekanauki.pl/articles/199794.pdf
Data publikacji:: 2014
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: approximate controllability
Sobolev type fractional stochastic evolution equations
Opis:: We study the existence of mild solutions and the approximate controllability concept for Sobolev type fractional semilinear stochastic evolution equations in Hilbert spaces. We prove existence of a mild solution and give sufficient conditions for the approximate controllability. In particular, we prove that the fractional linear stochastic system is approximately controllable in [0, b] if and only if the corresponding deterministic fractional linear system is approximately controllable in every [s, b], 0 ≤ s < b. An example is provided to illustrate the application of the obtained results.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 2; 205-215
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

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