An inverse problem by eigenvalues of four spectra

DOI10.1016/j.jmaa.2012.07.018zbMath1261.34020OpenAlexW1984884634MaRDI QIDQ714089

Vyacheslav N. Pivovarchik

Publication date: 19 October 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.07.018

zbMATH Keywords

Nevanlinna functionDirichlet boundary conditionNeumann boundary conditionMarchenko equationsine-type functionLagrange interpolation series

Mathematics Subject Classification ID

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

Related Items (5)

An inverse Sturm-Liouville problem from parts of three spectra ⋮ Functional equations related to sine type functions ⋮ On three spectra problem and Ambarzumian's theorem ⋮ On solvability of three spectra problem ⋮ A practical method for recovering Sturm–Liouville problems from the Weyl function

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the missing eigenvalue problem for an inverse Sturm-Liouville problem
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Inverse problems for heat equations on compact intervals and on circles. I
• An inverse Sturm-Liouville problem by three spectra
• Inverse spectral problems and closed exponential systems
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Inverse Problem for the Sturm--Liouville Equation on a Simple Graph
• On the inverse spectral theory of Schrödinger and Dirac operators
• An Inverse Sturm–Liouville Problem with Mixed Given Data
• Discontinuous inverse eigenvalue problems
• On the Hochstadt–Lieberman theorem
• Inverse problem for the Sturm–Liouville equation on a star‐shaped graph

This page was built for publication: An inverse problem by eigenvalues of four spectra