Geometric aspects of Sturm-Liouville problems. III. Level surfaces of the \(n\)th eigenvalue

DOI10.1016/j.cam.2006.10.040zbMath1133.34019OpenAlexW2041368547MaRDI QIDQ2381610

Hongyou Wu, Anton Zettl, Xi-Fang Cao, Qing Kai Kong

Publication date: 18 September 2007

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.2006.10.040

zbMATH Keywords

transfer matrixlevel surfaces\(n\)-th eigenvaluespace of self-adjoint boundary conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Real-valued functions on manifolds (58C05)

Related Items (9)

A new method of solving the index problem for Sturm-Liouville eigenvalues ⋮ Dependence of eigenvalues of certain closely discrete Sturm-Liouville problems ⋮ Relations among eigenvalues of left-definite Sturm-Liouville problems with coupled BCS and separated BCS ⋮ Singularity of the \(n\)-th eigenvalue of high dimensional Sturm-Liouville problems ⋮ Computing the indices of Sturm-Liouville eigenvalues for coupled boundary conditions (the EIGENIND-SLP codes) ⋮ Oscillation problem of left-definite Sturm-Liouville problems with coupled BCs ⋮ The index problem for eigenvalues for coupled boundary conditions and Fulton's conjecture ⋮ Analyticity of the spectrum and Dirichlet-to-Neumann operator technique for quantum graphs ⋮ NEW CANONICAL FORMS OF SELF-ADJOINT BOUNDARY CONDITIONS FOR REGULAR DIFFERENTIAL OPERATORS OF ORDER FOUR

Cites Work

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• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Maximal Accretive Realizations of Regular Sturm-Liouville Differential Operators
• Geometric aspects of Sturm-Liouville problems II. Space of boundary conditions for left-definiteness
• Sturm-Liouville problems with finite spectrum

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