The finiteness of the spectrum of boundary value problems defined on a geometric graph

DOI10.1090/mosc/293zbMath1437.34035OpenAlexW3014472122MaRDI QIDQ4960299

Ya. T. Sultanaev, Victor A. Sadovnichij, Azamat M. Akhtyamov

Publication date: 14 April 2020

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mosc/293

zbMATH Keywords

characteristic equationfinite spectrumboundary value problem on a metric graph

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• Finiteness of the spectrum of boundary value problems
• Degenerate boundary conditions for the Sturm-Liouville problem on a geometric graph
• Spectral properties of the complex Airy operator on the half-line
• On the spectrum of an odd-order differential operator
• Regular and completely regular differential operators
• Eigenvalues and completeness for regular and simply irregular two-point differential operators

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