- 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