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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. Featuring numerous applications of comparison methods to real-world problems, Comparison Methods and Stability Theory discusses the direct method of Lyapunov... monotone iterative techniques... numerical methods... monotone flows... semiconductor equations... Schrodinger equations... the method of upper-lower solutions... Hamilton equations... and more. Providing over 430 up-to-date literature citations and more than 1050 equations, Comparison Methods and Stability Theory is vital reading for all pure and applied mathematicians, numerical analysts, researchers in differential equations and dynamical systems, and graduate students in these disciplines.