Document Zbl 1089.34023

A nonself-adjoint singular Sturm-Liouville problem with a spectral parameter in the boundary condition. (English) Zbl 1089.34023

Math. Nachr. 278, No. 7-8, 743-755 (2005).

The author considers nonselfadjoint singular Sturm-Liouville boundary value problems in the limit-circle case with a spectral parameter in the boundary condition.
The approach is based on the use of the dissipative operator and the spectral analysis of this operator in terms of the characteristic function.

Reviewer: Rauf Kh. Amirov (Sivas)

Cited in 15 Documents

MSC:

34B24	Sturm-Liouville theory
34L10	Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators
47A45	Canonical models for contractions and nonselfadjoint linear operators
47B44	Linear accretive operators, dissipative operators, etc.
34B07	Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter

Keywords:

Nonselfadjoint singular Sturm-Liouville problem; spectral parameter in the boundary condition; maximal dissipative operator; selfadjoint dilation; functional model; characteristic function; completeness of the system of eigenvectors and associated vectors

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References:

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