Restoration of a potential from noisy spectral data

DOI10.1134/S1064562417040251zbMath1376.65107OpenAlexW2753041241WikidataQ113079625 ScholiaQ113079625MaRDI QIDQ2411812

T. M. Khapaeva, Vladimir V. Ternovskii, M. M. Khapaev

Publication date: 25 October 2017

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

Full work available at URL: https://doi.org/10.1134/s1064562417040251

zbMATH Keywords

numerical exampleregularizationvariational methodill-posed probleminverse Sturm-Liouville problem

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations (34B05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Numerical solution of inverse problems involving ordinary differential equations (65L09) Numerical solution of ill-posed problems involving ordinary differential equations (65L08)

Cites Work

• Inverse Sturm-Liouville problem with generalized periodic boundary conditions
• Study on the generalized \((p,q)\)-Laplacian elliptic systems, parabolic systems and integro-differential systems
• The inverse Sturm-Liouville problem with symmetric potentials
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• An Inverse Sturm–Liouville Problem with Mixed Given Data
• Inverse Sturm-Liouville problems: some recent developments

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