Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 05, pp. 1-14.

Title: Positive solutions of four-point boundary-value problems for
       higher-order with $p$-Laplacian operator

Authors: Yunming Zhou (Shandong Univ., China)
         Hua Su    (Qufu Normal Univ., China)

Abstract:
 In this paper, we  study  the  existence of positive solutions for
 nonlinear four-point singular boundary-value problems for
 higher-order equation with the $p$-Laplacian operator.
 Using the fixed-point index theory, we find conditions
 for the existence of  one solution, and of multiple solutions.
 
Submitted September 12, 2006. Published January 2, 2007.
Math Subject Classifications: 34B18.
Key Words: Higher-order $p$-Laplacian operator;
    four-point;  positive solutions; singular boundary-value; 
    fixed-point index theory.