Temat: 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:: Some analytical properties of dissolving operators related with the Cauchy problem for a class of nonautonomous partial differential equations. Part. 1
Autorzy:: Pytel-Kudela, M.
Prykarpatsky, A.K.
Powiązania:: https://bibliotekanauki.pl/articles/254883.pdf
Data publikacji:: 2006
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: dissolving operators
bilinear forms
Cauchy problem
semigroups
evolution equations
Opis:: The analytical properties of dissolving operators related with the Cauchy problem for a class of nonautonomous partial differential equations in Hilbert spaces are studied using theory of bilinear forms in respectively rigged Hilbert spaces triples. Theorems specifying the existence of a dissolving operator for a class of adiabatically perturbed nonautonomous partial differential equations are stated. Some applications of the results obtained are discussed.
Źródło:: Opuscula Mathematica; 2006, 26, 1; 131-136
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On the stability of first order impulsive evolution equations
Autorzy:: Wang, J.
Feckan, M.
Zhou, Y.
Powiązania:: https://bibliotekanauki.pl/articles/255727.pdf
Data publikacji:: 2014
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: first order
impulsive evolution equations
Ulam-Hyers-Rassias stability
Opis:: In this paper, concepts of Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for impulsive evolution equations are raised. Ulam-Hyers-Rassias stability results on a compact interval and an unbounded interval are presented by using an impulsive integral inequality of the Gronwall type. Two examples are also provided to illustrate our results. Finally, some extensions of the Ulam-Hyers-Rassias stability for the case with infinite impulses are given.
Źródło:: Opuscula Mathematica; 2014, 34, 3; 639-657
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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