The inverse problem of recovering the coefficients of a differential equations on a graph

DOI10.1515/jiip-2020-0070zbMath1476.34061OpenAlexW3084440596WikidataQ115236083 ScholiaQ115236083MaRDI QIDQ2660781

Ya. T. Sultanaev, Victor A. Sadovnichij, Azamat M. Akhtyamov

Publication date: 31 March 2021

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-2020-0070

zbMATH Keywords

inverse problemsspectral theoryODE on a graph

Mathematics Subject Classification ID

Inverse problems involving ordinary differential equations (34A55) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• Determination of the structure of the spectrum of regular boundary value problems for differential equations by V.A. Il'in's method of anti-a priori estimates
• Spectral theory of two-point differential operators determined by \(-D^ 2\). I: Spectral properties
• Finiteness of the spectrum of boundary value problems
• Eigenvalues and completeness for regular and simply irregular two-point differential operators
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