Wszystkie pola: Pytel-Kudela, M. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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: 2.

Tytuł:: On the structure of characteristic surfaces related with partial differential equations of first and higher orders. Pt. 1
Autorzy:: Prykarpatska, N.K.
Pytel-Kudela, M.
Powiązania:: https://bibliotekanauki.pl/articles/255195.pdf
Data publikacji:: 2005
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: characteristic surface
vector fields
tangency
Monge cone
tensor fields
Opis:: The geometric structure of characteristic surfaces related with partial differential equations of first and higer orders is studied making use the vector field technique on hypersurfaces. It is shown, that corresponding characteristics are defined uniquely up to some smooth tensor fields, thereby supplying additional information about the suitable set of their solutions. In particular, it may be very useful for studying asymptotic properties of solutions to our partial differential equations under some boundary conditions.
Źródło:: Opuscula Mathematica; 2005, 25, 2; 299-306
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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