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 are allowed to have the singularities in t and are not Lebesgue integrable.