文档介绍：Ordinary Differential Equations
with Applications to Mechanics
Mathematics and Its Applications
Managing Editor:
M. HAZEWINKEL
Centre for Mathematics puter Science, Amsterdam, herlands
Volume 585
Ordinary Differential
Equations with
Applications to Mechanics
by
Mircea V. Soare
Technical University of Civil Engineering,
Bucharest, Romania
Petre P. Teodorescu
University of Bucharest,
Faculty of Mathematics, Romania
and
Ileana Toma
Technical University of Civil Engineering,
Department of Mathematics and Informatics,
Bucharest, Romania
A . Catalogue record for this book is available from the Library of Congress.
ISBN-10 1-4020-5439-4 (HB)
ISBN-13 978-1-4020-5439-6 (HB)
ISBN-10 1-4020-5440-8 (e-book)
ISBN-13 978-1-4020-5440-2 (e-book)
Published by Springer,
. Box 17, 3300 AA Dordrecht, herlands.
Printed on acid-free paper
Translated into English, revised and extended by Petre P. Teodorescu and Ileana Toma
All Rights Reserved
© 2000 EDITURA TEHNICĂ
This translation of “Ordinary Differential Equations with Applications to Mechanics”
(original title: Ecuatü, diferentiale cu aplicatii îa mecanica constuctübor, published by:
EDITURA TEHNICĂ, Bucharest, Romania, 1999), First Edition, is published by
arrangement with EDITURA TEHNICĂ, Bucharest, Romania
© 2007 Springer
No part of this work may be reproduced, stored in a retrieval system, or transmitted
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or otherwise, without written permission from the Publisher, with the exception
of any material supplied specifically for the purpose of being entered
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CONTENTS
PREFACE ix
INTRODUCTION 1
1. Generalities 1
2. Ordinary Differential Equations 3
3. Supplementary Conditions Associated to ODEs 5
The Cauchy (initial) problem 5
The two-point problem 9
1. LINEAR ODEs OF FIRST AND SECON