Based on the International Symposium on Comparison Methods and Stability Theory held recently in Waterloo, Ontario, this timely reference presents the latest advances in comparison methods and stability theory in a wide range of nonlinear problems;covering a variety of topics such as ordinary, functional, impulsive, integro-, partial, and uncertain differential equations. Features numerous applications of comparison methods to real-world problems such as large-scale systems, control theory, population models, neural networks, and chemical kinetics! Containing authoritative contributions from over 35 internationally acclaimed experts in their respective fields, Comparison Methods and Stability Theory discusses the direct method of Lyapunov monotone iterative techniques numerical methods monotone flows semiconductor equations Schrödinger equations the method of upper-lower solutions Hamilton equations and more!