# Boundary Data Smoothness for Solutions of Three Point Boundary Value Problems for Second Order Ordinary Differential Equations

### Johnny Henderson

Baylor University, Waco, United States### Christopher C. Tisdell

University of New South Wales, Sydney, Australia

## Abstract

Under certain conditions, solutions of the boundary value problem, $y'' = f(x,y,y')$, $a < x < b$, $y(x_1) = y_1$, $y(x_3) - y(x_2) = y_2$, $a< x_1 < x_2 < x_3 < b$, are differentiated with respect to the boundary conditions.