Inverse eigenvalue problem for a simple star graph

DOI10.4171/JST/101zbMath1325.34022OpenAlexW2346244037MaRDI QIDQ2515801

William Rundell, Paul E. Sacks

Publication date: 6 August 2015

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jst/101

zbMATH Keywords

inverse spectral problemsSturm-Liouville operatorsstar graphs

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)

Related Items

Inverse nodal problems on quantum tree graphs ⋮ Inverse problems for the differential operator on a graph with cycles ⋮ Inverse Sturm-Liouville problem for a star graph by three spectra ⋮ Recovery of the heat equation on a star graph ⋮ Inverse spectral problems for arrowhead matrices ⋮ Inverse scattering problems on a noncompact star graph ⋮ Schrödinger operators on graphs and geometry. II: Spectral estimates for \(L_1\)-potentials and an Ambartsumian theorem ⋮ Ambarzumyan-type theorems on graphs with loops and double edges

Uses Software

• MATSLISE

Cites Work

• Inverse problems for quantum trees
• Boundary spectral inverse problem on a class of graphs (trees) by the BC method
• MATSLISE
• An Introduction to Inverse Scattering and Inverse Spectral Problems
• ON THE INVERSE RESONANCE PROBLEM
• Constructibility of an L^2_{{\bb R}}(0\hbox{, }a) solution to an inverse Sturm–Liouville problem using three Dirichlet spectra
• A Borg–Levinson theorem for trees
• An introduction to the mathematical theory of inverse problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item