Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 12, pp. 1-14.

Title: Green's function and existence of solutions for 
       a functional focal differential equation
       
Authors: Douglas R. Anderson (Concordia College, Moorhead, MN, USA)
         Tyler O. Anderson (Concordia College, Moorhead, MN, USA)
	 Mathew M. Kleber (Concordia College, Moorhead, MN, USA)

Abstract: 
 We determine  Green's function for a third-order three-point
 boundary-value problem of focal type and determine conditions
 on the coefficients and boundary points to ensure its positivity.
 We then apply this in the determination of the existence of
 positive solutions to a related higher-order functional
 differential equation.
 
Submitted November 28, 2005. Published January 26, 2006.
Math Subject Classifications: 34B10, 34B18, 34B27.
Key Words: Multiple solutions; boundary value problems; Green's
function; third order differential equation