The asymptotic distribution of the eigenvalues of right definite multiparameter Sturm-Liouville systems

DOI10.1017/S0013091500005873zbMath0791.34024OpenAlexW2056765851MaRDI QIDQ4289429

Bryan P. Rynne

Publication date: 11 July 1994

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

Full work available at URL: https://doi.org/10.1017/s0013091500005873

zbMATH Keywords

asymptotic eigenvalue distributionoscillation numberasymptotic distribution of the multiparameter eigenvaluesmultiparameter Sturm-Liouville eigenvalue problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (1)

Two parameter asymptotic spectra in the uniformly elliptic case

Cites Work

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• Comparison cones for multiparameter eigenvalue problems
• Asymptotic laws of distribution of the characteristic values for certain special forms of differential equations of the second order
• Multiparameter definiteness conditions
• On the Distribution of the Eigenvalues of a Two-Parameter System of Ordinary Differential Equations of the Second Order
• Distribution of Eigenvalues of A Two-Parameter System of Differential Equations

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