TY  - JOUR
ID  - PytelKudela2006
LB  - PytelKudela2006
AU  - Pytel-Kudela, Marzena
AU  - Prykarpatsky, Anatoliy K.
TI  - Some analytical properties of dissolving operators related with the Cauchy problem for a class of nonautonomous partial differential equations. Part 1
ST  - Some analytical properties of dissolving operators related with the Cauchy problem for a class of nonautonomous partial differential equations. Part 1
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2006
VL  - 26
IS  - 1
SP  - 131
EP  - 136
DO  - http://dx.doi.org/10.7494/OpMath.2006.26.1.131
UR  - http://dx.doi.org/10.7494/OpMath.2006.26.1.131
AB  - 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 bi-linear 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.
KW  - dissolving operators
KW  - bilinear forms
KW  - Cauchy problem
KW  - semigroups
KW  - evolution equations
SN  - 1232-9274
ER  -