Partial inverse problems for Sturm–Liouville operators on trees

DOI10.1017/S0308210516000482zbMath1386.34027arXiv1509.01534OpenAlexW2963925670MaRDI QIDQ5369432

Chung-Tsun Shieh, Natalia Pavlovna Bondarenko

Publication date: 17 October 2017

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01534

zbMATH Keywords

inverse spectral problemsSturm-Liouville operatorsquantum graphsmethod of spectral mappings

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) 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 (9)

Partial inverse problems for quadratic differential pencils on a graph with a loop ⋮ 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 ⋮ Spectral data characterization for the Sturm-Liouville operator on the star-shaped graph ⋮ A partial inverse problem for the Sturm-Liouville operator on a star-shaped graph ⋮ Inverse problem for the differential pencil on an arbitrary graph with partial information given on the coefficients ⋮ Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with different edge lengths ⋮ Mixed data in inverse spectral problems for the Schrödinger operators ⋮ Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition

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