@Article{PytelKudela2006,
author = "Pytel-Kudela, Marzena and Prykarpatsky, Anatoliy K.",
title = "Some analytical properties of dissolving operators related with the Cauchy problem for a class of nonautonomous partial differential equations. Part 1",
journal = "Opuscula Math.",
year = "2006",
volume = "26",
number = "1",
pages = "131--136",
doi = "http://dx.doi.org/10.7494/OpMath.2006.26.1.131",
url = "http://dx.doi.org/10.7494/OpMath.2006.26.1.131",
abstract = "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.",
keywords = "dissolving operators, bilinear forms, Cauchy problem, semigroups, evolution equations",
issn = "1232-9274"
}