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Doctoral Dissertations
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