Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 807178, 13 pages
Research Article

Existence of Solutions of Second Order Boundary Value Problems with Integral Boundary Conditions and Singularities

Department of Mathematics, Hohai University, Nanjing 210046, China

Received 28 December 2009; Accepted 20 March 2010

Academic Editor: Yuming Xing

Copyright © 2010 Guoju Ye and Xiuli Li. 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 the notation and monotone convergence theorem of Henstock-Kurzweil integral, we investigate the existence of continuous solutions for the second order boundary value problems with integral boundary conditions in which the nonlinearities f(t,x(t)) are allowed to have the singularities in t and are not Lebesgue integrable.