2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73798We 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 figuresFunctional AnalysisClassical Analysis and ODEsPrimary 34L15, Secondary 15A15, 41A80, 47B15On the Eigenvalues of Certain Canonical Higher-Order Ordinary Differential Operatorstext