Application of the Green’s Function for Solutions of Third Order Nonlinear Boundary Value Problems
Date of Award
Master of Science
Suzanne Lenhart, Jochen Denzler
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.
Morrison, Shannon Mathis, "Application of the Green’s Function for Solutions of Third Order Nonlinear Boundary Value Problems. " Master's Thesis, University of Tennessee, 2007.