Optimization spectral problem for the Sturm-Liouville operator in a vector function space

DOI10.1134/S1064562423701284OpenAlexW4391383677WikidataQ128975836 ScholiaQ128975836MaRDI QIDQ6123099

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Publication date: 4 March 2024

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562423701284

zbMATH Keywords

inverse spectral problemoptimization problemnonlinear system of Schrödinger equationsvector Sturm-Liouville operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55)

Cites Work

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• Multiparameter inverse spectral problems and their applications
• Extremal values of eigenvalues of Sturm-Liouville operators with potentials in \(L^1\) balls
• Inverse problems in scattering. An introduction
• On nonlinear boundary value problem corresponding to \(N\)-dimensional inverse spectral problem
• Recovery of the nearest potential field from the \(m\) observed eigenvalues
• Optimization inverse spectral problem for a vector Sturm-Liouville operator
• Estimates for the first eigenvalue in some Sturm-Liouville problems
• A variational approach to the optimal locations of the nodes of the second Dirichlet eigenfunctions

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