Structure of Solutions of Variational Problems
Structure of Solutions of Variational Problems is devoted to recent progress made in the studies of the structure of approximate solutions of variational problems considered on subintervals of a real line. Results on properties of approximate solut
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Alexander J. Zaslavski
Structure of Solutions of Variational Problems
123
Alexander J. Zaslavski Department of Mathematics The Technion-Israel Institute of Technology Haifa, Israel
ISSN 2190-8354 ISSN 2191-575X (electronic) ISBN 978-1-4614-6386-3 ISBN 978-1-4614-6387-0 (eBook) DOI 10.1007/978-1-4614-6387-0 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013930592 Mathematics Subject Classification (2010): 4902, 49J05, 49J45, 49J99 © Alexander J. Zaslavski 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
This book is devoted to the presentation of progress made during the last 10 years in the studies of the structure of approximate solutions of variational problems considered on subintervals of a real line. We present the results on properties of approximate solutions which are independent of the length of the interval, for all sufficien
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