Eigenvalue comparison theorems for certain boundary value problems and positive solutions for a fifth order singular boundary value problem.
| 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.date.updated | 2016-06-21T15:05:27Z | |
| 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.identifier.uri | http://hdl.handle.net/2104/9631 | |
| dc.language.iso | en | |
| dc.rights.accessrights | Worldwide access. | |
| dc.rights.accessrights | Access changed 7/12/18. | |
| 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.type.material | text | |
| local.embargo.lift | 2018-05-01 | |
| local.embargo.terms | 2018-05-01 | |
| thesis.degree.department | Baylor University. Dept. of Mathematics. | |
| thesis.degree.grantor | Baylor University | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Ph.D. |
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