Nonlinear Fredholm Inclusions and Applications

The necessity of studying coincidence points of nonlinear Fredholm operators and nonlinear (compact and condensing) maps of various classes arises in the investigation of many problems in the theory of partial differential equations and optimal control th

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Valeri Obukhovskii Pietro Zecca Nguyen Van Loi Sergei Kornev

Method of Guiding Functions in Problems of Nonlinear Analysis

Lecture Notes in Mathematics Editors: J.-M. Morel, Cachan B. Teissier, Paris

For further volumes: http://www.springer.com/series/304

2076

Valeri Obukhovskii  Pietro Zecca Nguyen Van Loi  Sergei Kornev

Method of Guiding Functions in Problems of Nonlinear Analysis

123

Valeri Obukhovskii Sergei Kornev Department of Physics and Mathematics Voronezh State Pedagogical University Voronezh, Russia

Pietro Zecca Dipartimento di Matematica e Informatica “U Dini” Universit`a di Firenze Firenze, Italy

Nguyen Van Loi Faculty of Fundamental Science PetroVietNam University Ba Ria, Vietnam

ISBN 978-3-642-37069-4 ISBN 978-3-642-37070-0 (eBook) DOI 10.1007/978-3-642-37070-0 Springer Heidelberg New York Dordrecht London Lecture Notes in Mathematics ISSN print edition: 0075-8434 ISSN electronic edition: 1617-9692 Library of Congress Control Number: 2013937327 Mathematics Subject Classification (2010): 34C25, 34C23, 47J15, 58E07, 34C15, 34B15, 34A60, 34G25, 34H05, 47H04, 47H08, 47H09, 47H11, 47J05, 49J52, 34K09, 34K13, 34K18, 34K30, 34K35, 54H25, 91A23, 93C10, 47N50 c Springer-Verlag Berlin Heidelberg 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.co