Vol. 55, No. 1, 1974

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Stieltjes differential-boundary operators. II

Allan Morton Krall

Vol. 55 (1974), No. 1, 207–218
Abstract

The differential boundary system

Ly = (y+ H [Cy (0)+ Dy(1)]+ H1Ψ)′ + P y,

              ∫
Ay(0)+ By (1)+   1dK (t)y(t) = 0,
0

∫ 1
dK1(t)y(t) = 0,
0

and its adjoint system are written as Stielties 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.

Mathematical Subject Classification 2000
Primary: 34B25
Secondary: 47E05
Milestones
Received: 7 March 1974
Published: 1 November 1974
Authors
Allan Morton Krall