Inverse problem for the differential pencil on an arbitrary graph with partial information given on the coefficients

DOI10.1007/S13324-018-0244-6zbMath1430.34022OpenAlexW2885486944WikidataQ129477498 ScholiaQ129477498MaRDI QIDQ2009456

Natalia Pavlovna Bondarenko

Publication date: 28 November 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-018-0244-6

zbMATH Keywords

inverse problemuniqueness theoremquantum graphdifferential pencilconstructive algorithm

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (6)

Partial inverse problems for quadratic differential pencils on a graph with a loop ⋮ Determination of a differential pencil from interior spectral data on a union of two closed intervals ⋮ New trace formulae for Sturm-Liouville operators on the Lasso-graph ⋮ On recovering quadratic pencils with singular coefficients and entire functions in the boundary conditions ⋮ Partial inverse problems for Dirac operators on star graphs ⋮ An inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary condition

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