Search:

Product Information All Elsevier Sites   Advanced Product Search
SiteStat.jsp
VOLTERRA INTEGRAL AND DIFFERENTIAL EQUATIONS, 202
Volterra Integral and Differential Equations, 202
SECOND EDITION
To order this title, and for more information, click here
Second Edition

By
Ted Burton, Ph.D., Professor Emeritus of Southern Illinois University, Carbondale, Illinois 62901, Northwest Research Institute

Included in series
Mathematics in Science and Engineering,

Description
Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork, allowing the readers to parlay their knowledge of ordinary differential equations into theory and application of the more general problems. Thus, the presentation starts slowly with very familiar concepts and shows how these are generalized in a natural way to problems involving a memory. Liapunov's direct method is gently introduced and applied to many particular examples in ordinary differential equations, Volterra integro-differential equations, and functional differential equations.

By Chapter 7 the momentum has built until we are looking at problems on the frontier. Chapter 7 is entirely new, dealing with fundamental problems of the resolvent, Floquet theory, and total stability. Chapter 8 presents a solid foundation for the theory of functional differential equations. Many recent results on stability and periodic solutions of functional differential equations are given and unsolved problems are stated.

Key Features:

- Smooth transition from ordinary differential equations to integral and functional differential equations.
- Unification of the theories, methods, and applications of ordinary and functional differential equations.
- Large collection of examples of Liapunov functions.
- Description of the history of stability theory leading up to unsolved problems.
- Applications of the resolvent to stability and periodic problems.

Audience
University libraries. Mathematics, Physics and Engineering Faculties within Universities. Industrial Mathematics, Science and Engineering departments in aerospace companies.

Contents
Preface. Preface to the second edition. Contents. 0 - Introduction and Overview 1 - The General Problems 2 - Linear Equations 3 - Existence Properties 4 - History, Examples and Motivation 5 - Instability, Stability and Perturbations 6 - Stability and Boundedness 7 - The Resolvent 8 - Functional Differential Equations References. Author Index. Subject Index.

Bibliographic details
Hardbound, 368 pages, publication date: APR-2005
ISBN-13: 978-0-444-51786-9
ISBN-10: 0-444-51786-3
Imprint: ELSEVIER

Price and Ordering
Price:
USD 210
GBP 138
EUR 162.95
order now
Books and book related electronic products are priced in US dollars (USD), euro (EUR), and Great Britain Pounds (GBP). USD prices apply to the Americas and Asia Pacific. EUR prices apply in Europe and the Middle East. GBP prices apply to the UK and all other countries.
See also information about conditions of sale & ordering procedures, and links to our regional sales offices.

050/501
Last update: 5 Sep 2009
Book contents
Table of contents
Reviews
Submit your review
Bookmark this page
Recommend this publication
Overview of all books
Printer-friendly version   Printer-friendly version