The Spectral Matrix and Green's Function for Singular Self-Adjoint Boundary Value Problems

Abstract

Let L denote the formal ordinary differential operator,where we assume the pk are complex-valued functions with n-k continuous derivatives on an open real interval a < x < b (a = — ∞, b = + ∞, or both may occur), p0(x) ≠ 0 on a < x < b, and L coincides with its Lagrange adjoint L+ given by.