Multiplicity of solutions to second-order linear differential equations on networks

DOI10.1016/S0024-3795(97)00348-0zbMath0945.34016WikidataQ127674021 ScholiaQ127674021MaRDI QIDQ1386507

José A. Lubary

Publication date: 19 September 2000

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

multiplicity of solutionsgraphsoptimal boundDirichlet and Neumann condition

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items

Harmonic functions on locally finite networks ⋮ Some remarks on the eigenvalue multiplicities of the Laplacian on infinite locally finite trees ⋮ Stability implies constancy for fully autonomous reaction-diffusion-equations on finite metric graphs ⋮ Stability Matters for Reaction–Diffusion–Equations on Metric Graphs Under the Anti-Kirchhoff Vertex Condition ⋮ Alternative solution of the inhomogeneous linear differential equation of order two ⋮ On multiplicity of eigenvalues in quantum graph theory ⋮ The eigenvalues of the Laplacian on locally finite networks ⋮ Nonreal eigenvalues for second order differential operators on networks with circuits

Cites Work

• Classical solvability of linear parabolic equations on networks
• A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks
• Regular solutions of transmission and interaction problems for wave equations
• Sturm-Liouville eigenvalue problems on networks
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