ALGORITHMS FOR RECOVERY OF DIFFUSION AND STURM–LIOUVILLE OPERATORS WITH SEMI-SEPARATED BOUNDARY CONDITIONS

DOI10.30546/2409-4994.2023.49.2.219zbMath1529.34019OpenAlexW4389253822MaRDI QIDQ6185506

Ibrahim M. Nabiev, L. I. Mammadova, Guldane S. Mammedzadeh

Publication date: 29 January 2024

Published in: Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2409-4994.2023.49.2.219

zbMATH Keywords

inverse problemuniqueness theoremspectral datasolution algorithmdiffusion and Sturm-Liouville operators

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

Cites Work

• On impulsive Sturm-Liouville operators with singularity and spectral parameter in boundary conditions
• Inverse problem for an operator pencil with nonseparated boundary conditions
• Essentially isospectral transformations and their applications
• Reconstruction of the differential operator with spectral parameter in the boundary condition
• Inverse spectral problems for differential operators with non-separated boundary conditions
• On Borg's method for non-selfadjoint Sturm-Liouville operators
• Spectral theory of operator pencils, Hermite-Biehler functions, and their applications
• An algorithm for reconstructing the Dirac operator with a spectral parameter in the boundary condition
• Uniqueness theorems for differential pencils with eigenparameter boundary conditions and transmission conditions
• On half inverse problem for differential pencils with the spectral parameter in boundary conditions
• Solvability and stability of the inverse Sturm–Liouville problem with analytical functions in the boundary condition
• Schrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter
• Recovering nonselfadjoint differential pencils with nonseparated boundary conditions
• The inverse spectral problem for pencils of differential operators
• Inverse problems for second-order differential pencils with Dirichlet boundary conditions
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