Characterizing smoothness of solutions with respect to boundary data of Dirichlet-nonlocal-Dirichlet boundary value problems for third order ordinary differential equations.

The goal of our paper is to establish analogues of Peano's Theorem for Dirichlet-nonlocal-Dirichlet conditions in third order ordinary differential equations. We begin by establishing the difference quotient, followed by a telescoping sum, allowing us to set up a linear system of equations in two unknowns to establish the existence of the limit as h → 0. We finish by employing Cramer's Rule, and list some quick corollaries for each variation of Peano's Theorem.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Doctoral

Grantor

Baylor University.

Year dc:date.issued

2022

Author dc:creator

• Ickes, Henry, 1992-

Advisor dc:contributor.advisor

• Henderson, Johnny.

• Boundary value problems.
• Smoothness.
• Peano's Theorem.

Statement dc:rights

• Baylor University works 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.

Language dc:language.iso

en

Handle dc:identifier.uri

https://hdl.handle.net/2104/12302

OAI identifier oai:identifier

oai:baylor-ir.tdl.org:2104/12302