Ordinary differential equations with nonlinear boundary conditions of antiperiodic type
The quasi linearization method is successfully applied to differential problems with nonlinear boundary conditions of antiperiodic type. Given are sufficient conditions under which the monotone iterations converge quadratically to a unique solution of our problem. The advantage of this approach lies in the fact that the approximate solutions are obtained iteratively as solutions of the above-mentioned iterations. (C) 2004 Elsevier Ltd. All rights reserved.
monotone iterations quadratic convergence lower and upper solutions