Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 129, pp. 1-10.

Title: Existence of positive solutions for a multi-point
       four-order boundary-value problem

Authors: Le Xuan Truong (Univ. of Economics, HoChiMinh city, Vietnam)
         Phan Dinh Phung (Nguyen Tat Thanh Univ.,HoChiMinh city, Vietnam)

Abstract: 
 The article shows sufficient conditions for the existence of
 positive solutions to a multi-point boundary-value
 problem for a fourth-order differential equation.
 Our main tools are the Guo-Krasnoselskii fixed point theorem
 and the monotone iterative technique. We also show that the
 set of positive solutions is compact.

Submitted April 4, 2011. Published October 11, 2011.
Math Subject Classifications: 34B07, 34B10, 34B18, 34B27
Key Words: Multi point; boundary value problem;
           Green function;  positive solution;
           Guo-Krasnoselskii fixed point theorem