Abstract
and boundary conditions (2) and (3) fail to have a solution for some continuous function g(t) of class L2 (0, oo); whereas A is in Pa if and only if (1), (2) and (3) have a solution x (t) E 0; finally Da consists of the cluster points of Pa. It is further known that Ca + Da, the derived set of Sc,L is independent of ca; cf. [8], p. 251. This invariant A-set will be called the essential spectrum and can be denoted S'.
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