On Solutions of Zero Exponential Type for Some Inhomogeneous Differential-Difference Equations in a Banach Space

Let A be a closed linear operator on a Banach space having a bounded inverse operator and f be an entire function of zero exponential type. The problem on well-possedeness of the differential-difference equation w′(z) = Aw(z − h) + f(z) in the space of en

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Santiago Ibáñez Jesús S. Pérez del Río Antonio Pumariño J. Ángel Rodríguez Editors

Progress and Challenges in Dynamical Systems

Springer Proceedings in Mathematics & Statistics Volume 54

For further volumes: http://www.springer.com/series/10533

Springer Proceedings in Mathematics & Statistics

This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including OR and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today.

Santiago Ib´an˜ ez  Jes´us S. P´erez del R´ıo ´ Rodr´ıguez Antonio Pumari˜no  J. Angel Editors

Progress and Challenges in Dynamical Systems Proceedings of the International Conference Dynamical Systems: 100 Years after Poincar´e, September 2012, Gij´on, Spain

123

Editors Santiago Ib´an˜ ez Jes´us S. P´erez del R´ıo Antonio Pumari˜no ´ J. Angel Rodr´ıguez Department of Mathematics University of Oviedo Oviedo, Spain

ISSN 2194-1009 ISSN 2194-1017 (electronic) ISBN 978-3-642-38829-3 ISBN 978-3-642-38830-9 (eBook) DOI 10.1007/978-3-642-38830-9 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2013947945 Mathematics Subject Classification (2010): 34-XX, 37-XX, 39-XX, 92-XX, 93-XX 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 u