Henderson, Johnny.Kunkel, Curtis J.Baylor University. Dept. of Mathematics.2007-05-232017-04-072007-05-232017-04-072007-052007-05-23http://hdl.handle.net/2104/5022Includes bibliographical references (p. 64-66).In this dissertation, we focus on singular boundary value problems with mixed boundary conditions. We study a variety of types, to all of which we seek a positive solution. We begin by considering the discrete (or difference equation) case, from which we proceed to look at the continuous (or ordinary differential equation) case. In all cases, we make use of a lower and upper solutions method and the Brouwer fixed point theorem in conjunction with perturbation methods to approximate regular problems.v, 66 p.95120 bytes330802 bytesapplication/pdfapplication/pdfen-USBaylor University theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. Contact librarywebmaster@baylor.edu for inquiries about permission.Boundary value problems.Fixed point theory.Singularities (Mathematics).ThesisWorldwide access