Differential Equations with Maxima

ISBN-13: 9781439867570 / Angielski / Twarda / 2011 / 312 str.

Drumi Bainov; Snezhana Hristova

Opis

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 maxima.

Spis treści

Introduction. Integral Inequalities with Maxima. General Theory. Stability Theory and Lyapunov Functions. Oscillation Theory. Asymptotic Methods. Averaging Method. Notes and Comments. Bibliography.

O autorze

Drumi D. Bainov, Medical University of Sofia, Bulgaria

Snezhana G. Hristova, Plovdiv University, Bulgaria