Masters Theses
Date of Award
5-2002
Degree Type
Thesis
Degree Name
Master of Science
Major
Mathematics
Major Professor
Don Hinton
Committee Members
Suzanne Lenhart, Conrad Plaut
Abstract
The main purpose of this paper is to present methods for approximating conjugate points of linear fourth order differential equations as well as various examples of results from these methods. We consider five examples of fourth order conjugate point problems. We use them to illustrate how each method works as well as how it performs. We compare the results obtained to the actual values of the conjugate points in question. Also included are the methods available for second order equations as well as examples of their use since these methods will motivate the methods for the fourth order case. In the last chapter a numerical method for computing conjugate points is discussed and illustrated.
Recommended Citation
Giles, Lori Beth, "Upper and lower bounds of conjugate points of fourth order linear differential equations. " Master's Thesis, University of Tennessee, 2002.
https://trace.tennessee.edu/utk_gradthes/5924