Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with mixed boundary conditions

DOI10.1515/JIIP-2017-0001zbMath1407.34043OpenAlexW2804786496MaRDI QIDQ682023

Natalia Pavlovna Bondarenko

Publication date: 13 February 2018

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2017-0001

zbMATH Keywords

Sturm-Liouville operatorinverse spectral problemtreesquantum graphpartial inverse problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (17)

A partial inverse problem for the Sturm-Liouville operator with constant delays on a star graph ⋮ Partial inverse problems for quadratic differential pencils on a graph with a loop ⋮ An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel ⋮ The inverse problem for differential pencils on a star-shaped graph with mixed spectral data ⋮ Inverse problems for Sturm–Liouville operators on a star-shaped graph with mixed spectral data ⋮ Partial inverse problems for Dirac operators on star graphs ⋮ Unnamed Item ⋮ A partial inverse problem for the Sturm-Liouville operator on the lasso-graph ⋮ Reconstruction of the Sturm-Liouville operator on a graph from subinterval nodes ⋮ Recovery of the heat equation on a star graph ⋮ Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with different edge lengths ⋮ Reconstruction and solvability for discontinuous Hochstadt-Lieberman problems ⋮ Mixed data in inverse spectral problems for the Schrödinger operators ⋮ An inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary condition ⋮ A partial inverse problem for quantum graphs with a loop ⋮ Horváth-type theorems on a star graph with mixed boundary conditions ⋮ Inverse nodal problems for integro-differential operators with a constant delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A partial inverse problem for the Sturm-Liouville operator on a star-shaped graph
• Nonharmonic analysis
• Inverse spectral problems for the Sturm-Liouville operator on a \(d\)-star graph
• Inverse Problem for the Sturm--Liouville Equation on a Simple Graph
• Inverse spectral problems for differential operators on spatial networks
• Inverse spectral problems for differential operators on arbitrary compact graphs
• Boundary spectral inverse problem on a class of graphs (trees) by the BC method
• An Inverse Sturm–Liouville Problem with Mixed Given Data
• Inverse eigenvalue problems on directed graphs
• A Borg–Levinson theorem for trees
• Graph models for waves in thin structures
• Inverse spectral problems for Sturm–Liouville operators on graphs
• Inverse spectral problem for quantum graphs
• Uniqueness theorems from partial information of the potential on a graph

This page was built for publication: Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with mixed boundary conditions