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

Johnny Henderson; Christopher C. Tisdell

doi:10.4171/zaa/1214

JournalszaaVol. 23, No. 3pp. 631–640

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

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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.

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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