The regularized trace formula for the Sturm-Liouville equation with spectral parameter in the boundary conditions

zbMath1173.34362arXiv0911.5412MaRDI QIDQ3642987

Publication date: 10 November 2009

Full work available at URL: https://arxiv.org/abs/0911.5412

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24)

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Uniqueness theorems for Sturm-Liouville operators with boundary conditions polynomially dependent on the eigenparameter from spectral data ⋮ Trace formulae for the matrix Schrödinger equation with energy-dependent potential ⋮ Spectrum, trace and nodal points of a Sturm-Liouville type delayed differential operator with interface conditions ⋮ A trace formula for discontinuous eigenvalue problem ⋮ A trace formula for integro-differential operators on the finite interval ⋮ Inverse problems for Sturm–Liouville operators with interior discontinuities and boundary conditions dependent on the spectral parameter ⋮ Essentially isospectral transformations and their applications

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