Recovering variable order differential operators on star-type graphs from spectra

DOI10.1134/S0012266113120033zbMath1396.34014OpenAlexW2040195497MaRDI QIDQ2251795

Vjacheslav Anatoljevich Yurko

Publication date: 15 July 2014

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266113120033

zbMATH Keywords

algorithmsuniquenessinverse spectral problemscompact star-type graphs

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (1)

Realization of a polylinear controller as a second-order differential system in a Hilbert space

Cites Work

• Method of spectral mappings in the inverse problem theory
• Inverse problems for differential operators of any order on trees
• An inverse problem for Sturm-Liouville differential operators on A-graphs
• Green's function for a locally interacting system of ordinary equations of different orders.
• Direct methods of solving multidimensional inverse hyperbolic problems.
• Elements of the theory of inverse problems
• Inverse spectral problems for differential operators on arbitrary compact graphs
• Boundary spectral inverse problem on a class of graphs (trees) by the BC method
• Inverse problems for Sturm–Liouville operators on bush-type graphs
• An inverse problem for higher order differential operators on star-type graphs
• A Borg–Levinson theorem for trees
• Inverse spectral problems for Sturm–Liouville operators on graphs
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