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An Introduction to Ordinary Differential Equations.pdf

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An Introduction to Ordinary Differential Equations.pdf

文档介绍

文档介绍:Universitext
Ravi P. Agarwal
Donal O’Regan
An Introduction to
Ordinary Differential
Equations
Ravi P. Agarwal Donal O’Regan
Florida Institute of Technology National University of Ireland, Galway
Department of Mathematical Sciences Mathematics Department
150 West University Blvd. University Road
Melbourne, FL 32901 Galway, Ireland
agarwal@fi donal.******@
ISBN: 978-0-387-71275-8 e-ISBN: 978-0-387-71276-5
DOI: -0-387-71276-5
Library of Congress Control Number: 2007935982
Mathematics Subject Classifi cation (2000): 34-01, 34-XX
©2008 Springer Science+Business Media LLC
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher (Springer Science+Business Media LLC, 233 Spring Street, New York,
NY 10013, .), except for brief excerpts in connection with reviews or scholarly analysis. Use
in connection with any form of information storage and retrieval, electronic adaptation, computer
software, or by similar or dissimilar methodology now known or hereafter developed is forbidden.
The use in this publication of trade names, trademarks, service marks and similar terms, even if they
are not identifi ed as such, is not to be taken as an expression of opinion as to whether or not they are
subject to proprietary rights.
Printed on acid-free paper.
9 8 7 6 5 4 3 2 1
Dedicated to
Ramesh C. Gupta
on his 65th birthday
Preface
Ordinary differential equations serve as mathematical models for many
exciting “real-world” problems, not only in science and technology, but also
in such diverse fields as economics, psychology, defense, and demography.
Rapid growth in the theory of differential equations and in its applications
to almost every branch of knowledge has resulted in a continued interest in
its study by students in many disciplines. This has given ordinary differen-
tial equations a distinct place in mathematics curricula all over the

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