Functional Equations in Mathematical Analysis
Functional Equations in Mathematical Analysis, dedicated to S.M. Ulam in honor of his 100th birthday, focuses on various important areas of research in mathematical analysis and related subjects, providing an insight into the study of numerous nonlinear p
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Aims and Scope Optimization has been expanding in all directions at an astonishing rate during the last few decades. New algorithmic and theoretical techniques have been developed, the diffusion into other disciplines has proceeded at a rapid pace, and our knowledge of all aspects of the field has grown even more profound. At the same time, one of the most striking trends in optimization is the constantly increasing emphasis on the interdisciplinary nature of the field. Optimization has been a basic tool in all areas of applied mathematics, engineering, medicine, economics and other sciences. The series Springer Optimization and Its Applications publishes undergraduate and graduate textbooks, monographs and state-of-the-art expository works that focus on algorithms for solving optimization problems and also study applications involving such problems. Some of the topics covered include nonlinear optimization (convex and nonconvex), network flow problems, stochastic optimization, optimal control, discrete optimization, multi-objective programming, description of software packages, approximation techniques and heuristic approaches.
For further volumes: http://www.springer.com/series/7393
Themistocles M. Rassias • Janusz Brzde¸k Editors
Functional Equations in Mathematical Analysis
123
Editors Themistocles M. Rassias Department of Mathematics National Technical University of Athens Zografou Campus 15780 Athens Greece [email protected]
Janusz Brzde¸k Department of Mathematics Pedagogical University 30084 Krakow Poland [email protected]
ISSN 1931-6828 ISBN 978-1-4614-0054-7 e-ISBN 978-1-4614-0055-4 DOI 10.1007/978-1-4614-0055-4 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2011935375 Mathematics Subject Classification (2010): 39-XX, 46-XX, 33-XX © Springer Science+Business Media, LLC 2012 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, USA), 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 identified 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 Springer is part of Springer Science+Business Media (www.springer.com)
Dedicated to the memory of Stanisław Marcin Ulam (1909–1984) on the occasion of the 100th anniversary of his birth
Preface
The volume consists of articles written by eminent scientists from the international mathematical community, who present important research works in the field of Mathematical Analysis and related subjects, in particular, in Functional Equations and In
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