Impulsive Differential Equations

ISBN-13: 9780367449841 / Angielski / Miękka / 2020 / 238 str.

Drumi Bainov; Pavel Simeonov

Opis

This book provides a systematic exposition of the results related to periodic solutions of impulsive differential equations and illustrates the potential for their application by a large number of concrete mathematical models.

Spis treści

Preface

Notation

Preliminary Notes

Impulsive differential equations

Auxiliary assertions

Notes and comments for Chapter I

Linear Impulsive Periodic Equations

Linear homogeneous periodic equations

Linear non-homogeneous impulsive equations

Notes and comments for Chapter II

Method of the Small Parameter. Non-critical Case

Quasilinear equations with fixed moments of an impulsive effect

Non-linear equations with unfixed moments of an impulse effect

Non-linear autonomous equations

Notes and comments for Chapter III

Method of the Small Parameter. Critical Case

Quasilinear equations with fixed moments of an impulse effect

Quasilinear equations with unfixed moments of an impulse effect

Autonomous quasilinear equations

Notes and comments for Chapter IV

Non-linear Periodic Impulsive Equations

The monodromy operator and existence of periodic solutions

Method of upper and lower solutions

Periodic value problem for a second-order impulsive equation

Notes and comments for Chapter V

Approximate Analytical Methods for Finding Periodic Solutions

Monotone-iterative technique for finding periodic solutions

Numerical-analytical method for finding periodic solutions

Method of bilateral approximations for finding periodic solutions

Method of boundary functions

Notes and comments for Chapter VI

Refrences

Author index

Subject index

O autorze

Bainov, Drumi | Simeonov, Pavel