On the Eigenvalues of Certain Canonical Higher-Order Ordinary Differential Operators

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dc.creatorBoettcher, Albrecht
dc.creatorWidom, Harold
dc.date2005-01-08
dc.date.accessioned2026-07-07T05:15:55Z
dc.date.available2026-07-07T05:15:55Z
dc.descriptionWe consider the operator of taking the $2p$th derivative of a function with zero boundary conditions for the function and its first $p-1$ derivatives at two distinct points. Our main result provides an asymptotic formula for the eigenvalues and resolves a question on the appearance of certain regular numbers in the eigenvalue sequences for $p=1$ and $p=3$.
dc.descriptionLaTeX, 12 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0501116
dc.identifierhttp://arxiv.org/abs/math/0501116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73798
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.subjectPrimary 34L15, Secondary 15A15, 41A80, 47B15
dc.titleOn the Eigenvalues of Certain Canonical Higher-Order Ordinary Differential Operators
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