Differential Equations with Maxima

ISBN-13: 9780367382827 / Angielski / Miękka / 2019 / 312 str.

Drumi D. Bainov; Snezhana G. Hristova

Opis

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. This book guides readers toward further investigations and applications of these equations for a more accurate study of real-world problems. It explains how to find solutions to initial value and boundary value problems as well as how to study stability and oscillatory properties of solutions. It also presents a systematic development of the averaging method.

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