Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Copyright © 2011 Ahmed Alsaedi. 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 discuss the existence and uniqueness of the solutions of a second-order
-point nonlocal boundary value problem by applying a generalized quasilinearization
technique. A monotone sequence of solutions converging uniformly and quadratically to a unique solution of the problem is presented.