Multiparameter spectral theory of singular differential operators

DOI10.1017/S0013091500006568zbMath0647.47032OpenAlexW2100825998MaRDI QIDQ3791739

Bryan P. Rynne

Publication date: 1988

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500006568

zbMATH Keywords

oscillation theoryeigenfunctions of differential operatorsgeometry of the spectrumlocation of certain subsets of the spectrummultiparameter spectral theory of systems of singular ordinary differential operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (3)

Singular Hamiltonian system with several spectral parameters ⋮ Two parameter asymptotic spectra ⋮ Singular multiparameter dynamic equations with distributional potentials on time scales

Cites Work

• Unnamed Item
• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• Sturm-Liouville problems with several parameters
• Comparison cones for multiparameter eigenvalue problems
• Methods of intermediate problems for eigenvalues. Theory and ramifications
• Abstract multiparameter theory. I
• A singular multi-parameter eigenvalue problem in second order ordinary differential equations
• Multiparameter Sturm theory
• Bloch waves and multiparameter spectral theory
• Stability regions for multi-parameter systems of periodic second order ordinary differential equations
• A Variational Approach to Multi-Parameter Eigenvalue Problems in Hilbert Space
• Positivity results for determinantal operators

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