Stability Analysis of Impulsive Functional Differential Equations

Ivanka Stamova

Published by De Gruyter 2009

Stability Analysis of Impulsive Functional Differential Equations

Ivanka Stamova

Volume 52 in the series De Gruyter Expositions in Mathematics

https://doi.org/10.1515/9783110221824

Overview
Contents

About this book

This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equations is under rapid development.

After a presentation of the fundamental theory of existence, uniqueness and continuability of solutions, a systematic development of stability theory for that class of problems is given which makes the book unique. It addresses to a wide audience such as mathematicians, applied researches and practitioners.

Author / Editor information

Ivanka Stamova, Bourgas Free University, Bulgaria

Topics

Frontmatter Requires Authentication Unlicensed Licensed Download PDF	I
Contents Requires Authentication Unlicensed Licensed Download PDF	IX
Chapter 1. Introduction Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 2. Lyapunov stability and boundedness Requires Authentication Unlicensed Licensed Download PDF	31
Chapter 3. Extensions of stability and boundedness theory Requires Authentication Unlicensed Licensed Download PDF	66
Chapter 4. Applications Requires Authentication Unlicensed Licensed Download PDF	144
Backmatter Requires Authentication Unlicensed Licensed Download PDF	213

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Lecturers, Graduate Students; Academic Libraries
Pages
- Front matter: 8
- Main content: 230
Keywords: Ordinary Differential Equations; Functional Differential Equations; Stability Theory; Ljapunov Stability

eBook

Published: October 16, 2009
ISBN: 9783110221824

Hardcover

Published: November 16, 2009
ISBN: 9783110221817