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

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 present...

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Bibliographic Details
Main Author: Morrison, Shannon Mathis
Published: Trace: Tennessee Research and Creative Exchange 2007
Subjects:
Online Access:http://trace.tennessee.edu/utk_gradthes/174
Description
Summary: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.