Journal of Applied Mathematics
Volume 2013 (2013), Article ID 679316, 12 pages
http://dx.doi.org/10.1155/2013/679316
Research Article

Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales

Gang Wu,1,2 Longsuo Li,1 Xinrong Cong,1 and Xiufeng Miao1

1Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China
2Basic Science, Harbin University of Commerce, Harbin, Heilongjiang 150076, China

Received 13 November 2012; Revised 31 January 2013; Accepted 31 January 2013

Academic Editor: Naseer Shahzad

Copyright © 2013 Gang Wu 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 study a system of second-order dynamic equations on time scales , , satisfying four kinds of different multipoint boundary value conditions, is continuous and semipositone. We derive an interval of such that any lying in this interval, the semipositone coupled boundary value problem has multiple positive solutions. The arguments are based upon fixed-point theorems in a cone.