Abstract: | This paper is a direct continuation of the first paper in this seriesQuaestiones Math. 8 (1985), no. 2,], which deals Kith the evolution problem B(t)u(t)]' = A(t)u(t), Bu(0) = y. whereas in the first paper existence and uniqueness results were presented, this paper contains the ancillary results formulated in the first paper. These results describe the properties of B(t)-evolutions with non-stationary generating pairs, as well as of the solution operator of B(t)u(t)]' = Au, Bu(0) = y. The notation of the first paper is assumed throughout and is used without further note. Citation of results from the first paper is made by equation number. The numbering of this paper follows that of the first paper in sequence. |