The distribution of nonprincipal eigenvalues of singular second-order linear ordinary differential equations

We obtain the asymptotic distribution of the nonprincipal eigenvalues associated with the singular problem x″+λq(t)x=0 on an infinite interval [a,+∞). Similar to the regular eigenvalue problem on compact intervals, we can prove a Weyl-type expansion of the eigenvalue counting function, and we derive...

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Bibliographic Details
Main Author: Juan Pablo Pinasco
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/29895