Show simple item record

dc.contributor.advisorHenderson, Johnny
dc.contributor.authorNguyen, Vy
dc.contributor.otherBaylor University.en_US
dc.date.accessioned2015-06-24T15:43:19Z
dc.date.available2015-06-24T15:43:19Z
dc.date.copyright2015-05-01
dc.identifier.urihttp://hdl.handle.net/2104/9406
dc.description.abstractIn this paper, we investigate special polynomial solutions of linear ordinary differential equations as functions of certain boundary conditions. We first look at solutions of y'' = 0 and y''' = 0, and observe the smooth dependence of the solutions on the boundary conditions by computing partial derivatives. Then, we characterize these partial derivatives according to their own respective boundary conditions. We also establish some relationships among these partial derivatives. In our generalization, we consider (n -􀀀 1)st degree polynomials as solutions of the boundary value problems of linear ordinary differential equations of nth derivative. We established these partial derivatives as (n -􀀀 1)st degree polynomials and satisfy their own respective boundary conditions. Finally, we discuss possible applications of the results of this paper through the modeling of hybrid phenomena with dynamic equations on time scales, and we mention extensions of the results to nonlinear differential equations.en_US
dc.language.isoen_USen_US
dc.rightsBaylor University projects 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 libraryquestions@baylor.edu for inquiries about permission.en_US
dc.subjectApplied Mathematicsen_US
dc.titleSmoothness of Polynomials With Respect to Boundary Conditions As Solutions of Ordinary Differential Equationsen_US
dc.typeThesisen_US
dc.rights.accessrightsWorldwide accessen_US
dc.contributor.departmentApplied Mathematics.en_US
dc.contributor.schoolshonors collegeen_US


Files in this item

Thumbnail
Thumbnail
Thumbnail


This item appears in the following Collection(s)

Show simple item record