Boundary Data Smoothness for Solutions of Nonlocal Boundary Value Problems for nth Order Differential Equations

Authors

Johnny Henderson, Baylor University
Britney Hopkins, Baylor University
Eugenie Kim, Baylor University
Jeffrey W. Lyons, Baylor UniversityFollow

Document Type

Article

Publication Date

7-1-2008

Publication Title

Involve

Keywords

Nonlinear boundary value problem, Ordinary differential equation, Nonlocal boundary condition, Boundary data smoothness

ISSN

1944-4176

Volume

1

Issue/No.

2

First Page

167

Last Page

181

Abstract

Under certain conditions, solutions of the boundary value problem y(n)=f(x,y,y′,…,y(n−1)), y(n)=f(x,y,y′,…,y(n−1)), y(i−1)(x1)=yiy(i−1)(x1)=yi for 1≤i≤n−11≤i≤n−1, and y(x2)−∑mi=1riy(ηi)=yny(x2)−∑i=1mriy(ηi)=yn, are differentiated with respect to boundary conditions, where a

Comments

Mathematical Subject Classification 2000

NSUWorks Citation

Henderson, Johnny; Hopkins, Britney; Kim, Eugenie; and Lyons, Jeffrey W., "Boundary Data Smoothness for Solutions of Nonlocal Boundary Value Problems for nth Order Differential Equations" (2008). Mathematics Faculty Articles. 32.
https://nsuworks.nova.edu/math_facarticles/32

DOI

10.2140/involve.2008.1.167