Multiparameter Sturm theory

DOI10.1017/S0308210500026068zbMath0558.34023MaRDI QIDQ3223164

Patrick J. Browne, Paul A. Binding

Publication date: 1984

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

zeroseigenfunctionsSturm-Liouville problemsfocal pointselliptic partial differential equation theorymonotonic dependence of eigenvalues

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Ordinary differential operators (34L99)

Related Items (7)

Continuous dependence of the \(n\)-th eigenvalue of self-adjoint discrete Sturm-Liouville problems on the problem ⋮ An iterative method for the numerical solution of two-parameter eigenvalue problems ⋮ The range of the \(p\)-Laplacian ⋮ Linked eigenvalue problems for the p-Laplacian ⋮ Spectral properties of two parameter eigenvalue problems II ⋮ Multiparameter spectral theory of singular differential operators ⋮ Applications of two parameter spectral theory to symmetric generalised eigenvalue problems

Cites Work

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• Comparison cones for multiparameter eigenvalue problems
• Abstract oscillation theorems for multiparameter eigenvalue problems
• Bifurcation from simple eigenvalues
• Discrete and continuous boundary problems
• AN OSCILLATION THEOREM FOR A TWO-PARAMETER SYSTEM OF DIFFERENTIAL EQUATIONS
• A Variational Approach to Multi-Parameter Eigenvalue Problems in Hilbert Space
• Multiparameter definiteness conditions

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