Essentially isospectral transformations and their applications

DOI10.1007/s10231-019-00934-wzbMath1448.34064arXiv1708.07497OpenAlexW2747250071WikidataQ126671775 ScholiaQ126671775MaRDI QIDQ778060

Namig J. Guliyev

Publication date: 30 June 2020

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07497

zbMATH Keywords

asymptoticsoscillationinverse problemsDarboux transformationregularized traceone-dimensional Schrödinger equationboundary conditions dependent on the eigenvalue parameter

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07)

Related Items (18)

Reconstruction of the differential operator with spectral parameter in the boundary condition ⋮ Regularized trace for operators on a separable Banach space ⋮ Solving the inverse Sturm-Liouville problem with singular potential and with polynomials in the boundary conditions ⋮ Inverse problems for discontinuous Dirac operator with eigenparameter dependent boundary and transmission conditions ⋮ Eigenvalues of one-dimensional Hamiltonian operators with an eigenparameter in the boundary condition ⋮ ASYMPTOTIC ANALYSIS OF STURM-LIOUVILLE PROBLEM WITH DIRICHLET AND NONLOCAL TWO-POINT BOUNDARY CONDITIONS ⋮ ALGORITHMS FOR RECOVERY OF DIFFUSION AND STURM–LIOUVILLE OPERATORS WITH SEMI-SEPARATED BOUNDARY CONDITIONS ⋮ Partially-isospectral Sturm-Liouville boundary value problems on the finite segment ⋮ On two-spectra inverse problems ⋮ On the reconstruction of a boundary value problem from incomplete nodal data ⋮ Unnamed Item ⋮ A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the eigenvalue parameter ⋮ Mixed data in inverse spectral problems for the Schrödinger operators ⋮ Inverse Sturm-Liouville problem with analytical functions in the boundary condition ⋮ Schrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter ⋮ On extensions of symmetric operators ⋮ Dependence of eigenvalues of Sturm-Liouville problems on time scales with eigenparameter-dependent boundary conditions ⋮ Finite Spectrum of Sturm–Liouville Problems with Transmission Conditions Dependent on the Spectral Parameter

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