The inverse Sturm–Liouville problem with mixed boundary conditions

DOI10.1090/S1061-0022-2010-01116-6zbMath1225.34025arXivmath/0607811MaRDI QIDQ3163678

Dmitry Chelkak, Evgeny L. Korotyaev

Publication date: 26 October 2010

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607811

zbMATH Keywords

inverse spectral problemsSturm-Liouville

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55)

Related Items (12)

An inverse problem for Sturm-Liouville operators with non-separated boundary conditions containing the spectral parameter ⋮ Global transformations preserving Sturm-Liouville spectral data ⋮ Eigenvalues of Schrödinger operators on finite and infinite intervals ⋮ RESTORATION OF POLYNOMIAL COEFFICIENT IN THE DIFFERENTIAL EQUATION OF THE THIRD ORDER ⋮ Inverse problem for a fourth-order differential operator with nonseparated boundary conditions ⋮ Uniqueness of reconstruction of an \(n\)th-order differential operator with nonseparated boundary conditions by several spectra ⋮ On the uniqueness of the solution of the inverse Sturm-Liouville problem with nonseparated boundary conditions on a geometric graph ⋮ Inverse Sturm-Liouville problem with nonseparated boundary conditions on a geometric graph ⋮ Inverse problem for a differential operator with nonseparated boundary conditions ⋮ On the symplectic phase space of K\lowercase{d}V ⋮ Inverse Sturm-Liouville problems for non-Borg conditions ⋮ Essentially isospectral transformations and their applications

Cites Work

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• Inverse problem for harmonic oscillator perturbed by potential, characterization
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• The inverse Sturm–Liouville problem. II
• The inverse Sturm–Liouville problem III
• The inverse Sturm‐Liouville problem. I

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