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

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We 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 $p=3$.
LaTeX, 12 pages, 2 figures

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Functional Analysis, Classical Analysis and ODEs, Primary 34L15, Secondary 15A15, 41A80, 47B15

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http://salesiana.dossiersoluciones.com/handle/123456789/73798

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501116
 http://arxiv.org/abs/math/0501116

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arXiv