Inverse spectral problems for differential pencils on arbitrary compact graphs
type: Item
instance of: scholarly article
title: Inverse spectral problems for differential pencils on arbitrary compact graphs
zbMATH Open document ID: 1466.34027
DOI: 10.1134/S0012266119010038
published in: Differential Equations
publication date: 2019-07-12T00:00:00Z
review text: Inverse problems of spectral analysis are studied for second-order differential pencils on arbitrary compact graphs. The uniqueness of recovering operators from their spectra is proved, and a constructive procedure for the solution of this class of inverse problems is provided. The obtained results are new and interesting and have comparatively higher theoretical and practical value.
reviewed by: Chuan-Fu Yang
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34B45
zbMATH DE Number: 7080024
zbMATH Keywords: differential pencils
zbMATH Keywords: compact graph
zbMATH Keywords: inverse spectral problem
author: V. A. Yurko
MaRDI profile type: Publication
cites work: Q4664614
cites work: Q4183612
cites work: Q3695595
cites work: Q4530224
cites work: Method of spectral mappings in the inverse problem theory
cites work: Q3447126
cites work: Boundary spectral inverse problem on a class of graphs (trees) by the BC method
cites work: Inverse spectral problems for Sturm–Liouville operators on graphs
cites work: A Borg–Levinson theorem for trees
cites work: Uniqueness theorems from partial information of the potential on a graph
cites work: Reconstruction of Sturm-Liouville differential operators on A-graphs
cites work: Inverse spectral problems for differential operators on arbitrary compact graphs
cites work: An inverse problem for differential pencils on graphs with a cycle
cites work: Inverse problem for differential pencils on a hedgehog graph
cites work: Q4423193
full work available at URL: s0012266119010038
OpenAlex ID: W2929483609
Wikidata QID: Q128105678
Recommended article: Inverse spectral problems for differential operators on arbitrary compact graphs
Recommended article: Inverse spectral problems for differential pencils on a graph with a rooted cycle
Recommended article: The inverse spectral problem for pencils of differential operators
Recommended article: Inverse problems for differential pencils on A-graphs
Recommended article: Incomplete inverse spectral and nodal problems for differential pencils
Recommended article: Q3559455
Recommended article: Inverse spectral problem for differential operator pencils on noncompact spatial networks
Recommended article: Inverse spectral problems for differential pencils with boundary conditions dependent on the spectral parameter
Recommended article: Inverse spectral problems for Sturm–Liouville operators on graphs
Recommended article: Inverse problems for Bessel-type differential equations on noncompact graphs using spectral data
description: scientific article; zbMATH DE number 7080024