The general ordinary quasidifferential expression Mp of nth
order, with complex coefficients and its formal adjoint Mp+ on any finite number of intervals
Ip=(ap,bp), p=1,…,
N, are considered in the setting of the direct sums of
Lwp2(ap,bp)-spaces of functions defined on each of the separate intervals. And a number of results concerning the location of the point spectra and regularity fields of general differential operators generated by such expressions are obtained.