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.
Provides the theoretical framework to model phenomena with discontinuous changes, 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. Chapters describe methods and prerequisites, first and second order differential equations, second order partial differential equations, and differential equations in Banach spaces. Annotation copyright Book News, Inc. Portland, Or.