Boundary data smoothness for solutions of nonlocal boundary value problems for n-th order differential equations

$y^{(i - 1)} (x_{1}) = y_{i}$ for $1 \leq i \leq n - 1$ , and $y (x_{2}) - \sum_{i = 1}^{m} r_{i} y (η_{i}) = y_{n}$ , are differentiated with respect to boundary conditions, where $a < x_{1} < η_{1} < \dots < η_{m} < x_{2} < b$ , and $r_{1}, \dots, r_{m}, y_{1}, \dots, y_{n} \in ℝ$ .

Keywords

nonlinear boundary value problem, ordinary differential equation, nonlocal boundary condition, boundary data smoothness

Mathematical Subject Classification 2000

Primary: 34B15, 34B10

Secondary: 34B08

Milestones

Received: 28 April 2008

Revised: 1 January 2999

Accepted: 10 June 2008

Published: 1 July 2008

Communicated by Kenneth S. Berenhaut

Authors

Johnny Henderson
Department of Mathematics Baylor University One Bear Place 97328 Waco, TX 76798-7328 United States
http://www.baylor.edu/math/index.php?id=22228
Britney Hopkins
Department of Mathematics Baylor University One Bear Place 97328 Waco, TX 76798-7328 United States

Eugenie Kim
Department of Mathematics Baylor University One Bear Place 97328 Waco. TX 76798-7328 United States

Jeffrey Lyons
Department of Mathematics Baylor University One Bear Place 97328 Waco, TX 76798-7328 United States

Vol. 1, No. 2, 2008

Johnny Henderson, Britney Hopkins, Eugenie Kim and Jeffrey Lyons

Abstract

Keywords

Mathematical Subject Classification 2000

Milestones

Authors