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

Abstract

New formulas on the inverse problem for the continuous skew-self-adjoint Dirac type system are obtained. For the discrete skew-self-adjoint Dirac type system the solution of a general type inverse spectral problem is also derived in terms of the Weyl functions. The description of the Weyl functions on the interval is given. Borg-Marchenko type uniqueness theorems are derived for both discrete and continuous non-self-adjoint systems too.

References in corpus (3)

• On Local Borg-Marchenko Uniqueness Results
• Discrete skew selfadjoint canonical systems and the isotropic Heisenberg magnet model
• Second harmonic generation: Goursat problem on the semi-strip and explicit solutions

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