Relatively bounded and compact perturbations of nth order differential operators

Relatively bounded and compact perturbations of nth order differential operators

A perturbation theory for nth 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 i...

Full description

Bibliographic Details
Main Author: Terry G. Anderson
Format: Article
Language:English
Published: Hindawi Limited 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Perturbation theory
differential operators
relatively bounded
relatively compact
integral averages
interpolation inequalities
maximal and minimal operators
essential spectrum
Fredholm index.
Online Access:http://dx.doi.org/10.1155/S0161171298000064

Internet

http://dx.doi.org/10.1155/S0161171298000064

Similar Items