Abstract
is of the limit point type for both t = oo and t = oo. Then (1) determines a boundary value problem in the Hilbert space L2( 00 oo ); that is, L(z) = (pz')' -qz is a self-adjoint operator defined on the set of functions z(t) for which z, pz' are absolutely continuous; and z, L(z) are of class L2( 00 oo). Let the spectrum of this operator be denoted by S and its derived set by S'. The assumptions above also imply that (1) and a boundary condition
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