Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 176, pp. 1-12.

Title: Multiple positive solutions for a nonlinear 3n-th order
       three-point boundary-value problem

Authors: K. L. Saraswathi Devi (Andhra Univ., Visakhapatnam, India)
         Kapula R. Prasad (Andhra Univ., Visakhapatnam, India)

Abstract:
 In this article we establish the existence
 of at least three positive solutions for 3n-th order
 three-point boundary value problem by using five functional
 fixed point theorem.
 We also establish the existence of at least 2m-1 positive
 solutions of the problem for arbitrary positive integer m.
 
Submitted June 23, 2010. Published December 17, 2010.
Math Subject Classifications: 34B18, 34A10.
Key Words: Boundary value problem; multiple positive solutions;
           fixed point; cone.