Boundary Value Problems
Volume 2009 (2009), Article ID 937064, 19 pages
doi:10.1155/2009/937064
Research Article

Positive Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales

Liang-Gen Hu,1 Ti-Jun Xiao,2 and Jin Liang3

1Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
2School of Mathematical Sciences, Fudan University, Shanghai 200433, China
3Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China

Received 21 March 2009; Accepted 1 July 2009

Academic Editor: Juan José Nieto

Copyright © 2009 Liang-Gen Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We are concerned with singular three-point boundary value problems for delay higher-order dynamic equations on time scales. Theorems on the existence of positive solutions are obtained by utilizing the fixed point theorem of cone expansion and compression type. An example is given to illustrate our main result.