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

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.

34B24Sturm-Liouville theory
34L10Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions (ODE)
47A45Canonical models for contractions and nonselfadjoint operators
47B44Accretive operators, dissipative operators, etc. (linear)
34B07Linear boundary value problems with nonlinear dependence