Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 78, pp. 1-13.

Title: Positive solutions of four-point boundary-value problems for
       four-order $p$-Laplacian dynamic equations on time scales

Authors: Hua Su  (Shandong Univ., China)
         Baohe Wang (Shandong Admin. Institute, China)
	 Zhongli Wei (Shandong Univ., China)
	 
Abstract: 
 We study  the existence  of positive solutions for the  
 nonlinear four-point singular  boundary-value problem with 
 $p$-Laplacian operator on time scales.
 By using the fixed-point index theory, the existence of positive
 solution and many positive solutions for nonlinear four-point
 singular boundary-value problem with $p$-Laplacian operator
 are obtained.
 
Submitted May 10, 2006. Published July 19, 2006.
Math Subject Classifications: 34B18.
Key Words: Time scales; four-point boundary-value problems; 
           cone; fixed points; positive solutions