Title

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

Date of Award

8-2007

Degree Type

Thesis

Degree Name

Master of Science

Major

Mathematics

Major Professor

Don Hinton

Committee Members

Suzanne Lenhart, Jochen Denzler

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.

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