On the completeness of the system of root functions of the Sturm-Liouville operator with degenerate boundary conditions

DOI10.1134/S0012266114060111zbMath1303.34070MaRDI QIDQ742813

Alexander S. Makin

Publication date: 19 September 2014

Published in: Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (3)

On the absence of the basis property for the root function system of the Sturm-Liouville operator with degenerate boundary conditions ⋮ Basis properties of the system of root functions of the Sturm-Liouville operator with degenerate boundary conditions. I ⋮ Completeness property of one-dimensional perturbations of normal and spectral operators generated by first order systems

Cites Work

• On the completeness of the system of root vectors of the Sturm-Liouville operator with general boundary conditions
• The reconstruction of the differential operator by its spectrum
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