ABSTRACT

Differential equations with "maxima"-differential equations that contain the maximum of the unknown function over a previous interval-adequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval. More and more, these equations model and regulate the behavior of various tec

chapter 1|16 pages

Introduction

chapter 2|44 pages

Integral Inequalities with Maxima

chapter 3|30 pages

General Theory

chapter 4|50 pages

Stability Theory and Lyapunov Functions

chapter 5|52 pages

Oscillation Theory

chapter 6|50 pages

Asymptotic Methods

chapter 7|22 pages

Averaging Method

chapter 8|2 pages

Notes and Comments