Existence and uniqueness of index multiparametric eigenvalues

DOI10.1016/0022-247X(86)90047-8zbMath0604.47011MaRDI QIDQ1083672

Hans W. Volkmer, Paul A. Binding

Publication date: 1986

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

zbMATH Keywords

quadratic formmultiparameter problemcompact symmetric operatorsexistence and uniqueness of eigenvaluesindexed eigenvalueslocal definiteness

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items

Classification of eigentuples for uniformly elliptic multiparameter problems, The asymptotic distribution of the eigenvalues of multiparameter Sturm–Liouville systems II

Cites Work

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• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• Nonuniform right definiteness
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• Indicial equivalents of multiparameter definiteness conditions in finite dimensions
• AN OSCILLATION THEOREM FOR A TWO-PARAMETER SYSTEM OF DIFFERENTIAL EQUATIONS
• A Variational Approach to Multi-Parameter Eigenvalue Problems in Hilbert Space