Optimal Control Problems Arising in Forest Management
This book is devoted to the study of optimal control problems arising in forest management, an important and fascinating topic in mathematical economics studied by many researchers over the years. The volume studies the forest management problem by analyz
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Alexander J. Zaslavski
Optimal Control Problems Arising in Forest Management
123
SpringerBriefs in Optimization Series Editors Sergiy Butenko Mirjam Dür Panos M. Pardalos János D. Pintér Stephen M. Robinson Tamás Terlaky My T. Thai
SpringerBriefs in Optimization showcases algorithmic and theoretical techniques, case studies, and applications within the broad-based field of optimization. Manuscripts related to the ever-growing applications of optimization in applied mathematics, engineering, medicine, economics, and other applied sciences are encouraged.
More information about this series at http://www.springer.com/series/8918
Alexander J. Zaslavski
Optimal Control Problems Arising in Forest Management
123
Alexander J. Zaslavski Department of Mathematics The Technion – Israel Institute of Techn Rishon LeZion, Israel
ISSN 2190-8354 ISSN 2191-575X (electronic) SpringerBriefs in Optimization ISBN 978-3-030-23586-4 ISBN 978-3-030-23587-1 (eBook) https://doi.org/10.1007/978-3-030-23587-1 © The Author(s), under exclusive license to Springer Nature Switzerland AG 2019 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. 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. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
The growing importance of optimal control has been recognized in recent years. This is due not only to impressive theoretical developments but also because of numerous applications to engineering, economics, life sciences, etc. This book is devoted to the study of a class of optimal control problems arising in forest management. The forest management problem is an important and interesting topic in mathematical economics that was studied by many researchers including Nobel laureate P.A. Samuelson [68]. As usual, for this problem, the existence of optimal solutions o
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