Differential Equations with Maxima

Certain qualitative and approximate methods are needed to solve problems of differential equations with maxima, which depend on the maximum value of a state on past time intervals. One of the few up-to-date references on the topic, this book develops these qualitative and approximate methods of analysis for nonlinear differential equations with maxima. It explains the underlying theory of differential equations and how to accurately model real-world applications, including automatic control systems. It also covers how to solve initial value and boundary value problems of differential equations with maxima.