Eigenvalue asymptotics for differential operators on graphs

DOI10.1016/j.cam.2004.11.038zbMath1082.34073OpenAlexW2008554504MaRDI QIDQ557734

Sonja Currie, Bruce Alastair Watson

Publication date: 30 June 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.11.038

zbMATH Keywords

graphseigenvalues asymptotics

Mathematics Subject Classification ID

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)

Related Items (9)

Inverse Sturm-Liouville problem for a star graph by three spectra ⋮ Inverse Sturm-Liouville spectral problem on symmetric star-tree ⋮ Quadratic eigenvalue problems for second order systems ⋮ Spectral determinants and an Ambarzumian type theorem on graphs ⋮ Unnamed Item ⋮ An Ambarzumian-type theorem on graphs with odd cycles ⋮ \(M\)-matrix asymptotics for Sturm-Liouville problems on graphs ⋮ Inverse Sturm–Liouville problem on equilateral regular tree ⋮ On the Well-posedness of Evolutionary Equations on Infinite Graphs

Cites Work

• Spectral theory of ordinary differential operators
• Scattering problems on noncompact graphs
• Discrete and continuous boundary problems
• A Prufer Transformation for Matrix Differential Equations
• Two Point Boundary Problems for Second Order Matrix Differential Systems
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Unnamed Item
• Unnamed Item

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