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

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

2005-01-08

arxiv.org/abs/math/0501116v1

Mathematics

Functional Analysis

LaTeX, 12 pages, 2 figures

Scientific paper

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 $p=3$.

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