Direct and Inverse Finite-Dimensional Spectral Problems on Graphs

DOI10.1007/978-3-030-60484-4zbMath1480.39001OpenAlexW3097127063MaRDI QIDQ5138457

Vyacheslav N. Pivovarchik, Manfred Möller

Publication date: 3 December 2020

Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-60484-4

zbMATH Keywords

dampinginverse problemsspectral theorygraphsStieltjes strings

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Discrete version of topics in analysis (39A12) Difference operators (39A70) Inverse problems involving ordinary differential equations (34A55) Research exposition (monographs, survey articles) pertaining to difference and functional equations (39-02) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Matrix pencils (15A22)

Related Items (8)

Distinguishing cospectral quantum graphs by scattering ⋮ On multiplicities of eigenvalues of a spectral problem on a prolate tree ⋮ On Ambarzumian type theorems for tree domains ⋮ Cospectral quantum graphs with Dirichlet conditions at pendant vertices ⋮ On recovering the shape of a quantum tree from the spectrum of the Dirichlet boundary problem ⋮ Upper bound for the diameter of a tree in the quantum graph theory ⋮ Inverse spectral problem for a star graph of Stieltjes strings with given numbers of masses on the edges ⋮ Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition

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