Asymptotic Formulae for Weight Numbers of the Sturm – Liouville Boundary Problem on a Star-shaped Graph

DOI10.18500/1816-9791-2018-18-1-40-48zbMath1410.34091OpenAlexW2793521291MaRDI QIDQ3120403

Maria A. Kuznetsova

Publication date: 4 March 2019

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu743

zbMATH Keywords

asymptoticsSturm-Liouville operatorsspectral datastar-shaped graphsweight numbers

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations (34B05) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (3)

Functional-differential operators on geometrical graphs with global delay and inverse spectral problems ⋮ On recovering the Sturm-Liouville differential operators on time scales ⋮ Spectral analysis of the matrix Sturm-Liouville operator

Cites Work

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• On recovering Sturm-Liouville operators on graphs
• Spectral theory of operator pencils, Hermite-Biehler functions, and their applications
• Inverse spectral problems for differential operators on spatial networks
• Spectral analysis for the matrix Sturm-Liouville operator on a finite interval
• Inverse problem for the Sturm–Liouville equation on a star‐shaped graph

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