Dual variational approaches to multiparameter eigenvalue problems

DOI10.1016/0022-247X(83)90273-1zbMath0521.47011MaRDI QIDQ1055681

Paul A. Binding

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

abstract multiparameter problem for selfadjoint operators on separable Hilbert spacesdual variational approachesleft definitenesspolar duality between convex setsright definiteness

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (2)

The asymptotic distribution of the eigenvalues of multiparameter Sturm–Liouville systems II ⋮ Nonuniform right definiteness

Cites Work

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• A Variational Approach to Multi-Parameter Eigenvalue Problems in Hilbert Space
• On generalised and quadratic eigenvalue problems
• Multiparameter definiteness conditions
• Left Definite Multiparameter Eigenvalue Problems
• 11.— A Left Definite Multiparameter Eigenvalue Problem in Ordinary Differential Equations
• The interlacing of eigenvalues for periodic multi-parameter problems

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