scientific article; zbMATH DE number 7004593

zbMath1406.34099MaRDI QIDQ4612154

Bilender P. Allahverdiev

Publication date: 22 January 2019

Full work available at URL: https://ejde.math.txstate.edu/Volumes/2019/02/abstr.html#latest

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zbMATH Keywords

characteristic functionscattering matrixHamiltonian systemfunctional modeldissipative operatorself-adjoint dilationlimit-circlespectral parameter in the boundary

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear ordinary differential equations and systems (34A30) Parameter dependent boundary value problems for ordinary differential equations (34B08) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (3)

Eigenvalues of one-dimensional Hamiltonian operators with an eigenparameter in the boundary condition ⋮ EIGENVALUES OF STURM-LIOUVILLE PROBLEMS WITH EIGENPARAMETER DEPENDENT BOUNDARY AND INTERFACE CONDITIONS ⋮ Completeness theorem for eigenparameter dependent dissipative Dirac operator with general transfer conditions

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