Stability Analysis of Impulsive Functional Differential Equations (eBook)

Ivanka Stamova (Autor)

eBook Download: PDF

2009
238 Seiten
De Gruyter (Verlag)
978-3-11-022182-4 (ISBN)

Infos

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 equationsis 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.

Ivanka Stamova, Bourgas Free University, Bulgaria

Autor

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Ivanka Stamova, Bourgas Free University, Bulgaria

Inhalt

Frontmatter 1
Contents 9
Chapter 1. Introduction 11
Chapter 2. Lyapunov stability and boundedness 41
Chapter 3. Extensions of stability and boundedness theory 76
Chapter 4. Applications 154
Backmatter 223

Produkt-Details

• Erscheint lt. Verlag: 16.10.2009
• Reihe/Serie: De Gruyter Expositions in Mathematics
• Reihe/Serie: De Gruyter Expositions in Mathematics
• Reihe/Serie: ISSN
• Reihe/Serie: ISSN
• Verlagsort: Berlin/Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Technik
• Schlagworte: Functional differential equations • Funktionalgleichung • Gewöhnliche Differentialgleichung • Ljapunov Stability • Ljapunowsche Stabilität • Ordinary differential equations • Stabilitätstheorie • Stability Theory
• ISBN-10: 3-11-022182-9 / 3110221829
• ISBN-13: 978-3-11-022182-4 / 9783110221824