ABSTRACT

""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.

chapter 1|82 pages

Methods and Prerequisites

chapter 2|134 pages

First Order Differential Equations

chapter 3|48 pages

Second Order Differential Equations

chapter 5|160 pages

Differential Equations in Banach Spaces