Spectral analysis of the matrix Sturm-Liouville operator

DOI10.1186/s13661-019-1292-zOpenAlexW2987283440WikidataQ126796494 ScholiaQ126796494MaRDI QIDQ2108411

Natalia Pavlovna Bondarenko

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.03810

zbMATH Keywords

eigenvalue asymptoticsmatrix Sturm-Liouville operatorSturm-Liouville operators on graphsasymptotics of weight matricesgeneral self-adjoint boundary condition

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items

Local solvability and stability of the inverse problem for the non-self-adjoint Sturm-Liouville operator ⋮ The inverse problem for the heat equation with reflection of the argument and with a complex coefficient ⋮ Inverse problems for the Dirac operator on a star graph ⋮ Spectral data characterization for the Sturm-Liouville operator on the star-shaped graph ⋮ Inverse problem solution and spectral data characterization for the matrix Sturm-Liouville operator with singular potential ⋮ Constructive solution of the inverse spectral problem for the matrix Sturm–Liouville operator ⋮ Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition

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