Copyright © 2012 Indranil SenGupta and Maria C. Mariani. 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.
We study the general semilinear second-order ODE under different two-point boundary conditions. Using the method of upper and lower solutions, we obtain an existence result. Moreover, under
a growth condition on , we prove that the set of solutions of is homeomorphic to the two-dimensional real space.