An inverse problem for the non-selfadjoint matrix Sturm–Liouville equation on the half-line

DOI10.1515/jiip.2007.042zbMath1142.34006OpenAlexW2007147402MaRDI QIDQ5443544

Vjacheslav Anatoljevich Yurko, Gerhard Freiling

Publication date: 21 February 2008

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2007.042

zbMATH Keywords

Weyl matrixInverse spectral problemsmethod of spectral mappingsmatrix Sturm-Liouville operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

Related Items (7)

Determination of the self-adjoint matrix Schrödinger operators without the bound state data ⋮ Stability of the inverse scattering problem for the self‐adjoint matrix Schrödinger operator on the half line ⋮ An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line ⋮ Direct and inverse problems of the theory of wave propagation in an elastic inhomogeneous medium ⋮ On the reconstruction of the Sturm-Liouville problems with spectral parameter in the discontinuity conditions ⋮ On stability of an inverse spectral problem for a nonsymmetric differential operator ⋮ Constructive solution of the inverse spectral problem for the matrix Sturm–Liouville operator

Cites Work

• In memory of Boris Levitan [July 7, 1914 -- April 4, 2006]
• Borg-type theorems for matrix-valued Schrödinger operators
• An inverse problem for the matrix Schrödinger equation
• Direct and inverse scattering transforms with arbitrary spectral singularities
• Scattering and inverse scattering for first order systems
• On the M-function and Borg–Marchenko theorems for vector-valued Sturm–Liouville equations

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