Boundary data smoothness for solutions of nonlocal boundary value problems.

In this dissertation, we investigate boundary data smoothness for solutions of nonlocal boundary value problems over discrete and continuous domains. Essentially, we show that under certain conditions partial derivatives and differences exist, with respect to boundary conditions, for solutions of nonlocal boundary value problems and solve the variational equation in the derivative case and a specific linear difference equation in the difference case. Lastly, we provide a corollary and a few examples as well as some ideas for future work.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Doctoral

Grantor

Baylor University.

Year dc:date.issued

2011

Author dc:creator

• Lyons, Jeffrey W.

Advisor dc:contributor.advisor

• Henderson, Johnny.

• Ordinary differential equations.
• Difference equations.
• Nonlocal boundary value problem.

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/2104/8153

OAI identifier oai:identifier

oai:baylor-ir.tdl.org:2104/8153