dc.contributor.advisor Henderson, Johnny. dc.creator Nelms, Charles F. dc.date.accessioned 2016-06-21T15:05:27Z dc.date.available 2016-06-21T15:05:27Z dc.date.created 2016-05 dc.date.issued 2016-03-23 dc.date.submitted May 2016 dc.identifier.uri http://hdl.handle.net/2104/9631 dc.description.abstract Comparison of smallest eigenvalues for certain two point boundary value problems for a fifth order linear differential equation are first obtained. The results are extended to (2n+1)-order and (3n+2)-order boundary value problems. Methods used for these results involve the theory of $u_0$-positive operators with respect to a cone in conjunction with sign properties of Green's functions. Finally, initial results are established for the existence of positive solutions for singular two point boundary value problems for a fifth order nonlinear differential equation. The methods involve application of a fixed point theorem for decreasing operators. dc.format.mimetype application/pdf dc.language.iso en dc.subject Eigenvalue. Comparison. Boundary Value. dc.title Eigenvalue comparison theorems for certain boundary value problems and positive solutions for a fifth order singular boundary value problem. dc.type Thesis dc.rights.accessrights Worldwide access. dc.rights.accessrights Access changed 7/12/18. dc.type.material text thesis.degree.name Ph.D. thesis.degree.department Baylor University. Dept. of Mathematics. thesis.degree.grantor Baylor University thesis.degree.level Doctoral dc.date.updated 2016-06-21T15:05:27Z local.embargo.lift 2018-05-01 local.embargo.terms 2018-05-01
﻿