Impulsive differential equations have been the subject of intense investigation in the last 10-20 years, due to the wide possibilities for their application in numerous fields of science and technology. This new work presents a systematic exposition of the results solving all of the more important problems in this field.

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; how to accurately model real-world applications, including automatic control systems; and how to solve initial value and boundary value problems of differential equations with...