Reconstruction of potential in discrete Sturm-Liouville problem

DOI10.1007/S12346-021-00548-9zbMath1480.39010OpenAlexW3216352941MaRDI QIDQ2064110

Hikmet Koyunbakan

Publication date: 4 January 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-021-00548-9

zbMATH Keywords

potentialnodal pointsSturm-Liouville difference equation

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Discrete version of topics in analysis (39A12) Boundary value problems for difference equations (39A27)

Related Items (2)

Conformable fractional dynamic Dirac system ⋮ Existence theorem for a fractal Sturm-Liouville problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eigenvalues of discrete Sturm-Liouville problems with eigenparameter dependent boundary conditions
• Solvability theorems for an inverse nonself-adjoint Sturm-Liouville problem with nonseparated boundary conditions
• Solution to the interior transmission problem using nodes on a subinterval as input data
• Incomplete inverse spectral and nodal problems for differential pencils
• On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems with general boundary conditions
• Inverse spectral theory using nodal points as data - A uniqueness result
• On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems
• Direct and inverse spectral problems for discrete Sturm-Liouville problem with generalized function potential
• Eigenvalues and eigenfunctions of discrete conjugate boundary value problems
• Traces and inverse nodal problem for Sturm-Liouville operators with frozen argument
• Inverse nodal problem for the Sturm-Liouville operator with a weight
• Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph
• Solution of inverse nodal problems
• Asymptotic behavior of discretized Sturm–Liouville eigenvalue problems
• Reconstructing the potential function and its derivatives using nodal data
• Discrete Sturmian theory
• Conformable fractional Sturm-Liouville equation and some existence results on time scales
• On the Nodal Sets of the Eigenfunctions of the String Equation
• ASYMPTOTIC FORMULAS FOR DISCRETE EIGENVALUE PROBLEMS IN LIOUVILLE NORMAL FORM
• Variable Change for Sturm-Liouville Differential Expressions on Time Scales
• On disconjugacy for sturm-liouville difference equations
• Inverse problems for Sturm-Liouville difference equations

This page was built for publication: Reconstruction of potential in discrete Sturm-Liouville problem