11.— A Left Definite Multiparameter Eigenvalue Problem in Ordinary Differential Equations

DOI10.1017/S0308210500016619zbMath0333.34019OpenAlexW909919080MaRDI QIDQ4100375

Sleeman, Brian D., A. Kaellstroem

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1017/s0308210500016619

Mathematics Subject Classification ID

Ordinary differential operators (34L99)

Related Items (17)

An abstract multiparameter spectral theory ⋮ Elliptic multiparameter eigenvalue problems ⋮ Uniform convergence of multiparameter eigenfunction expansions ⋮ Sturm-Liouville problems with several parameters ⋮ Comparison cones for multiparameter eigenvalue problems ⋮ Multiparameter root vectors ⋮ Non-linear multiparameter eigenvalue problems for ordinary differential equations ⋮ Full and partial-range eigenfunction expansions for a multiparameter system of differential equations ⋮ Abstract oscillation theorems for multiparameter eigenvalue problems ⋮ On a problem of B. D. Sleeman ⋮ Spectral decomposition of uniformly elliptic multiparameter eigenvalue problems ⋮ Multiparameter spectral theory in Hilbert space ⋮ Another positivity result for determinantal operators ⋮ On generalised and quadratic eigenvalue problems ⋮ Multiparameter definiteness conditions ⋮ Multiparameter definiteness conditions II ⋮ Dual variational approaches to multiparameter eigenvalue problems

Cites Work

• The completeness and expansion theorems associated with the multi- parameter eigenvalue problem in ordinary differential equations
• Rand- und Eigenwertaufgaben in Sobolewschen Räumen
• A multi-parameter eigenvalue problem
• Completeness and Expansion Theorems for a Two-Parameter Eigenvalue Problem in Ordinary Differential Equations Using Variational Principles

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