Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations [Hardcover]

Providing the theoretical framework to model phenomena with discontinuous changes, this unique reference presents a generalized monotone iterative method in terms of upper and lower solutions appropriate for the study of discontinuous nonlinear differential equations and applies this method to derive suitable fixed point theorems in ordered abstract spaces. Methods and Prerequisites; First Order Differential Equations; Second Order Differential Equations; Second Order Partial Differential Equations; Differential Equations in Banach Spaces. Providing the theoretical framework to model phenomena with discontinuous changes, this unique reference presents a generalized monotone iterative method in terms of upper and lower solutions appropriate for the study of discontinuous nonlinear differential equations and applies this method to derive suitable fixed point theorems in ordered abstract spaces. USCopyright ? 1994 by MARCEL DEKKER, INC.