A nonself-adjoint 1D singular Hamiltonian system with an eigenparameter in the boundary condition

DOI10.1007/s11118-012-9305-xzbMath1276.34077OpenAlexW1979103735MaRDI QIDQ1950465

Bilender P. Allahverdiev

Publication date: 13 May 2013

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-012-9305-x

zbMATH Keywords

limit circle1D singular Hamiltonian systemcompleteness of systems of eigenvectors and associated vectorseigenvalue parameter in the boundary condition

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) Dilations, extensions, compressions of linear operators (47A20) Parameter dependent boundary value problems for ordinary differential equations (34B08) Scattering theory of linear operators (47A40) Linear accretive operators, dissipative operators, etc. (47B44) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (7)

Spectral analysis for discontinuous non-self-adjoint singular Dirac operators with eigenparameter dependent boundary condition ⋮ Eigenvalues of one-dimensional Hamiltonian operators with an eigenparameter in the boundary condition ⋮ Dependence of eigenvalues of Dirac system on the parameters ⋮ Dirac systems with regular and singular transmission effects ⋮ SELF-ADJOINT REALIZATION OF A CLASS OF THIRD-ORDER DIFFERENTIAL OPERATORS WITH AN EIGENPARAMETER CONTAINED IN THE BOUNDARY CONDITIONS ⋮ Completeness theorem for eigenparameter dependent dissipative Dirac operator with general transfer conditions ⋮ Unnamed Item

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