Reconstruction of Sturm-Liouville differential operators with singularities inside the interval

DOI10.1007/BF02307203zbMath0922.34022OpenAlexW2070356847MaRDI QIDQ1282517

Vjacheslav Anatoljevich Yurko

Publication date: 14 October 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02307203

zbMATH Keywords

boundary value probleminverse spectral problemfundamental system of solutionsWeyl functionsSturm-Liouville differential operators with regular singularities

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations (34B05)

Related Items

A uniqueness theorem for Bessel operator from interior spectral data, The inverse spectral problem of some singular version of one-dimensional Schrödinger operator with explosive factor in finite interval, Inverse problems for radial Schrödinger operators with the missing part of eigenvalues, Inverse spectral problems for Bessel operators with interior transmission conditions, Inverse spectral problems for radial Schrödinger operators and closed systems, The inverse scattering problem of some Schrödinger type equation with turning point, A local Borg-Marchenko theorem for complex potentials

Cites Work

• Differential-difference equations
• Inverse spectral theory for some singular Sturm-Liouville problems
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• On higher-order differential operators with a singular point
• On higher-order differential operators with a regular singularity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item