Existence conditions for two-parameter eigenvalue problems

DOI10.1017/S0308210500012592zbMath0499.47006OpenAlexW2056744054MaRDI QIDQ3965138

Patrick J. Browne, Lawrence Turyn, Paul A. Binding

Publication date: 1981

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/s0308210500012592

zbMATH Keywords

fundamental solutionseigentuplestwo parameter eigenvalue problemsself-adjoint operators on separable Hilbert spaces

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Equations and inequalities involving linear operators, with vector unknowns (47A50) Ordinary differential operators (34L99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (7)

Spectral properties of two parameter eigenvalue problems II ⋮ Abstract oscillation theorems for multiparameter eigenvalue problems ⋮ Existence conditions for eigenvalue problems generated by compact multiparameter operators ⋮ Spectral properties of compact multiparameter operators ⋮ Multiparameter definiteness conditions II ⋮ The inertia of a Hermitian pencil ⋮ Indicial equivalents of multiparameter definiteness conditions in finite dimensions

Cites Work

• Sturm-Liouville problems with several parameters
• Comparison cones for multiparameter eigenvalue problems
• Multiparameter spectral theory in Hilbert space
• Spectral properties of two-parameter eigenvalue problems
• AN OSCILLATION THEOREM FOR A TWO-PARAMETER SYSTEM OF DIFFERENTIAL EQUATIONS
• A Variational Approach to Multi-Parameter Eigenvalue Problems in Hilbert Space
• Asymptotic Formulae for the Eigenvalues of a Two Parameter System of Ordinary Differential Equations of the Second Order
• Three‐Point Boundary Value Problems in Differential Equations

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