# 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.

## Cite this article

Johnny Henderson, Christopher C. Tisdell, Boundary Data Smoothness for Solutions of Three Point Boundary Value Problems for Second Order Ordinary Differential Equations. Z. Anal. Anwend. 23 (2004), no. 3, pp. 631–640

DOI 10.4171/ZAA/1214