Stieltjes differential-boundary operators. II
Allan M. Krall · Pacific Journal of Mathematics · 1974
The differential boundary system Ly = (y + H[Cy(0) + Dy(l)] + H,Ψ)' + Py , Ay (0) + By(l) + V dK(t)y(t) = 0 ,Jo = 0 , and its adjoint system are written as Stieltjes integral equation systems with end point boundary conditions.Fundamental matrices are exhibited and, from these, a spectral analysis and a Green's matrix are produced.These are used to achieve spectral resolutions in both self-adjoint and nonself-adjoint situations.