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

Juan Pablo Pinasco

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-7

Abstract:

We obtain the asymptotic distribution of the nonprincipal eigenvalues associated with the singular problem x ″ + λ q ( 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 the asymptotic behavior of the eigenvalues.

Date: 2006
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2006/029895.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2006/029895.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:029895

DOI: 10.1155/IJMMS/2006/29895

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().