Inverse Sturm-Liouville problem with spectral polynomials in nonsplitting boundary conditions

DOI10.1134/S0012266117010050zbMath1370.34030OpenAlexW2595279567MaRDI QIDQ2358640

Ya. T. Sultanaev, Victor A. Sadovnichij, Azamat M. Akhtyamov

Publication date: 15 June 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117010050

zbMATH Keywords

inverse problemsdifferential equationsuniqueness result

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

Cites Work

• Solvability theorems for an inverse nonself-adjoint Sturm-Liouville problem with nonseparated boundary conditions
• The inverse Sturm-Liouville problem: Uniqueness theorems and counterexamples
• Inverse problems for Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter
• Adjointness properties for differential systems with eigenvalue-dependent boundary conditions, with application to flow-duct acoustics
• Boundary eigenvalue problems for differential equations \(N\eta=\lambda P\eta\) with \(\lambda\)-polynomial boundary conditions
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