Skew-self-adjoint discrete and continuous Dirac-type systems: inverse problems and Borg–Marchenko theorems

DOI10.1088/0266-5611/22/6/011zbMath1105.47035arXivmath/0511594OpenAlexW1997640528MaRDI QIDQ3419268

Alexander L. Sakhnovich

Publication date: 6 February 2007

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511594

zbMATH Keywords

inverse spectral problemWeyl functions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Special classes of linear operators (47B99)

Related Items (11)

Inverse scattering problem for nonstationary Dirac-type systems on the half-plane ⋮ Stability of the procedure of explicit recovery of skew-selfadjoint Dirac systems from rational Weyl matrix functions ⋮ Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators ⋮ Inverse problems for self-adjoint Dirac systems: explicit solutions and stability of the procedure ⋮ Skew-self-adjoint Dirac system with a rectangular matrix potential: Weyl theory, direct and inverse problems ⋮ Sine-Gordon theory in a semi-strip ⋮ Inverse eigenvalue problem for a class of Dirac operators with discontinuous coefficient ⋮ Construction of the solution of the inverse spectral problem for a system depending rationally on the spectral parameter, Borg-Marchenko-type theorem and sine-Gordon equation ⋮ Semiseparable integral operators and explicit solution of an inverse problem for a skew-self-adjoint Dirac-type system ⋮ Skew-selfadjoint Dirac systems with rational rectangular Weyl functions: explicit solutions of direct and inverse problems and integrable wave equations ⋮ Inverse spectral problem for Dirac operators by spectral data

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