Relatively bounded and compact perturbations of n th order differential operators

Terry G. Anderson

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-22

Abstract:

A perturbation theory for n th order differential operators is developed. For certain classes of operators L , necessary and sufficient conditions are obtained for a perturbing operator B to be relatively bounded or relatively compact with respect to L . These perturbation conditions involve explicit integral averages of the coefficients of B . The proofs involve interpolation inequalities.

Date: 1998
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/21/350907.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/21/350907.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:350907

DOI: 10.1155/S0161171298000064

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 ().