On the Continuous Spectra of Singular Boundary Value Problems

Abstract

Suppose that p(t) > 0, that both p(t) and f(t) are continuous functions on the half-line 0 ≤ t < ∞, and that λ denotes a real parameter. Only real-valued functions will be considered in this paper. Let the differential equation,be of the limit-point type (3, p. 238), so that (1) and a linear homogeneous boundary condition, 0 ≤ α < π,determine a boundary value problem on 0 ≤ t < ∞ for every fixed α.