Article ID Journal Published Year Pages File Type
4624105 Journal of Mathematical Analysis and Applications 2006 11 Pages PDF
Abstract

We consider the operator of taking the 2pth 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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis