Application of the Green’s Function for Solutions of Third Order Nonlinear Boundary Value Problems

Morrison, Shannon Mathis

Application of the Green’s Function for Solutions of Third Order Nonlinear Boundary Value Problems

Date Issued

August 1, 2007

Author(s)

Morrison, Shannon Mathis

Advisor(s)

Don Hinton

Additional Advisor(s)

Suzanne Lenhart

Jochen Denzler

Link to full text

http://etd.utk.edu/2007/MorrisonShannon.pdf

Permanent URI

https://trace.tennessee.edu/handle/20.500.14382/37634

Abstract

Green’s functions are used to prove a collection of existence and uniqueness theorems for third order nonlinear boundary value problems. Several examples of Green’s functions for both second and third order boundary value problems are given. Various applications of the existence theorems are presented in detail.

Disciplines

Mathematics

Degree

Master of Science

Major

Mathematics

Embargo Date

December 1, 2011

File(s)

Name

MorrisonShannon.pdf

Size

314.43 KB

Format

Adobe PDF

Checksum (MD5)

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