Direct and inverse spectral problems for discrete Sturm-Liouville problem with generalized function potential

DOI10.1186/S13662-016-0898-ZzbMath1419.39014OpenAlexW2463645219WikidataQ59462634 ScholiaQ59462634MaRDI QIDQ1625737

Bayram Bala, Abdullah Kablan, Manaf Dzh. Manafov

Publication date: 29 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0898-z

zbMATH Keywords

inverse problemsdifference equationgeneralized spectral function

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Discrete version of topics in analysis (39A12) Inverse problems involving ordinary differential equations (34A55) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (4)

PRÜFER ANALYSIS OF PERIODIC SINGULAR STURM–LIOUVILLE PROBLEM WITH PIECEWISE CHARACTERISTIC ⋮ Unnamed Item ⋮ Inverse scattering problem with Levinson formula for eigenparameter‐dependent discrete Sturm–Liouville equation ⋮ Reconstruction of potential in discrete Sturm-Liouville problem

Cites Work

• Inverse spectral problems for tridiagonal \(N\) by \(N\) complex Hamiltonians
• Determination of an infinite non-self-adjoint Jacobi matrix from its generalized spectral function
• On an inverse problem for non-selfadjoint difference operators
• Inverse problems for Sturm-Liouville difference equations
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