A Theory of Relative Boundedness and Relative Compactness for Ordinary Differential Operators

Author

Terry G. Anderson, University of Tennessee, Knoxville

Date of Award

8-1989

Degree Type

Dissertation

Degree Name

Doctor of Philosophy

Major

Mathematics

Major Professor

Don B. Hinton

Committee Members

Henry C. Simpson, Suzanne Lenhart

Abstract

In this thesis we develop a perturbation theory for ordinary differential operators. In the following, the differential operator B will be regarded as a perturbation of a (typically) higher-order differential operator L. For certain classes of operators L, we obtain necessary and sufficient conditions for B to be L-bounded or L-compact.

Recommended Citation

Anderson, Terry G., "A Theory of Relative Boundedness and Relative Compactness for Ordinary Differential Operators. " PhD diss., University of Tennessee, 1989.
https://trace.tennessee.edu/utk_graddiss/6368