Approximation of Solutions for Second-Order
-Point Nonlocal Boundary Value Problems via the Method of Generalized Quasilinearization !()
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Boundary Value Problems 2011, 2011:929061 doi:10.1155/2011/929061Published: 4 October 2010
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.