Inverse spectral problems for Sturm--Liouville operators in impedance form
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Publication:1779220
DOI10.1016/j.jfa.2004.08.010zbMath1082.34006OpenAlexW2086343131MaRDI QIDQ1779220
Rostyslav O. Hryniv, Sergio A. Albeverio, Yaroslav Volodymyrovych Mykytyuk
Publication date: 1 June 2005
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2004.08.010
Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Inverse problems involving ordinary differential equations (34A55)
Related Items (16)
Spectral theory for Sturm–Liouville operators with measure potentials through Otelbaev’s function ⋮ Inverse spectral problems for Bessel operators ⋮ Global transformations preserving Sturm-Liouville spectral data ⋮ Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability ⋮ On the asymptotic behaviour of solutions of the Dirac system and applications to the Sturm-Liouville problem with a singular potential ⋮ Commutation methods for Schrödinger operators with strongly singular potentials ⋮ A finite difference method for an inverse Sturm-Liouville problem in impedance form ⋮ Transmutation operators method for Sturm-Liouville equations in impedance form. I: Construction and analytical properties ⋮ Transmutation operators method for Sturm-Liouville equations in impedance form. II: Inverse problem ⋮ Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints ⋮ On zeros of some entire functions ⋮ Oscillation properties for the Dirac equation with spectral parameter in the boundary condition ⋮ Zero measure and singular continuous spectra for quantum graphs ⋮ Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set ⋮ Inverse spectral theory for uniformly open gaps in a weighted Sturm-Liouville problem ⋮ The recovery of the acoustic stiffness coefficient
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