Uniqueness and reconstruction of the periodic Sturm-Liouville operator with a finite number discontinuities

DOI10.1016/J.AML.2023.108853MaRDI QIDQ6066877

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Publication date: 16 November 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

uniquenessperiodic boundary conditionSturm-Liouville operatorreconstructionfinite number discontinuities

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Discontinuous ordinary differential equations (34A36) Inverse problems involving ordinary differential equations (34A55)

Cites Work

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• Regular approximation of singular Sturm-Liouville problems with transmission conditions
• Uniqueness for inverse Sturm-Liouville problems with a finite number of transmission conditions
• A partial inverse problem for the Sturm-Liouville operator on the lasso-graph
• Reconstruction of the Sturm-Liouville operator with discontinuities from a particular set of eigenvalues
• Dependence of eigenvalues of Sturm- Liouville problems with interface conditions
• Uniqueness theorems for the impulsive Dirac operator with discontinuity
• Local solvability and stability of inverse problems for Sturm-Liouville operators with a discontinuity
• Discontinuous inverse eigenvalue problems
• Inverse Sturm-Liouville problems with two discontinuities
• Inverse problems for differential operators with nonseparated boundary conditions in the central symmetric case
• Inverse problems for nonabsorbing media with discontinuous material properties

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