Journal of Applied Mathematics
Volume 2012 (2012), Article ID 295209, 12 pages
Research Article

Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence

School of Mathematical Sciences, Shandong Normal University, Shandong, Jinan 250014, China

Received 29 March 2012; Accepted 19 May 2012

Academic Editor: Yansheng Liu

Copyright © 2012 Huiqin Lu. 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.


By constructing a special cone in 𝐶 1 [ 0 , 2 𝜋 ] and the fixed point theorem, this paper investigates second-order singular semipositone periodic boundary value problems with dependence on the first-order derivative and obtains the existence of multiple positive solutions. Further, an example is given to demonstrate the applications of our main results.