Spectral properties of two parameter eigenvalue problems II

DOI10.1017/S0308210500018187zbMath0642.47003OpenAlexW4248136607MaRDI QIDQ3784665

Patrick J. Browne, Paul A. Binding

Publication date: 1987

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/s0308210500018187

zbMATH Keywords

monotonicityasymptotic properties

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Matrix pencils (15A22) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (12)

On eigencurves of elliptic boundary value problems ⋮ Corrigendum: Spectral properties of two parameter eigenvalue problems II ⋮ Two parameter eigenvalue problems for matrices ⋮ Eigencurves for two-parameter self-adjoint ordinary differential equations of even order ⋮ Existence and stability for nonpositone elliptic problems ⋮ On well‐posedness of the first boundary‐value problem within linear isotropic Toupin–Mindlin strain gradient elasticity and constraints for elastic moduli ⋮ Application of two parameter eigencurves to Sturm–Liouville problems with eigenparameter-dependent boundary conditions ⋮ Asymptotics of eigencurves for second order ordinary differential equations. II ⋮ Oscillation theory for indefinite Sturm-Liouville problems with eigenparameter-dependent boundary conditions ⋮ Instability results for the damped wave equation in unbounded domains ⋮ Second Order Elliptic Equations with Degenerate Weight ⋮ Asymptotics of eigencurves for second order ordinary differential equations. I

Cites Work

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• Multiparameter Sturm theory
• Spectral properties of two-parameter eigenvalue problems
• Existence conditions for two-parameter eigenvalue problems
• Existence conditions for eigenvalue problems generated by compact multiparameter operators
• Spectral properties of compact multiparameter operators

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