Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 123, pp. 1-13.

Title: Existence of countably many positive solutions  for nth-order
       m-point boundary-value problems on time scales
  
Authors: Sihua Liang  (Nanjing Normal Univ., Jiangsu, China)
         Jihui Zhang  (Nanjing Normal Univ., Jiangsu, China)
	 Zhiyong Wang (Nanjing Univ. of Information Science, Jiangsu, China)

Abstract:
 In this paper, we study the existence of positive solutions
 for the nonlinear nth-order with m-point singular boundary-value
 problem. By using the fixed point index theory and a new fixed point
 theorem in cones, the existence of countably many positive solutions
 for a nonlinear singular boundary value problem are obtained.
 
Submitted February 20, 2008. Published September 04, 2008.
Math Subject Classifications: 34B18
Key Words: Time scales; positive solutions; singular boundary-value; 
           fixed-point index theory.