On the completeness of eigenfunctions of a discontinuous Dirac operator with an eigenparameter in the boundary condition. (English) Zbl 1488.34478
Summary: This paper deals with a discontinuous Dirac operator with an eigenparameter in the boundary condition. By using Lidskii’s theorem, we investigate the completeness of the system of eigenfunctions of such an operator.
MSC:
| 34L10 | Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators |
| 34L40 | Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) |
| 34B09 | Boundary eigenvalue problems for ordinary differential equations |
Keywords:
dissipative Dirac operator; eigenparameter in the boundary condition; completeness of the system of eigenvectors and associated vectors; Lidskii’s theoremReferences:
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