Delay Differential Equations and Dynamical Systems Proceedings of a
The meeting explored current directions of research in delay differential equations and related dynamical systems and celebrated the contributions of Kenneth Cooke to this field on the occasion of his 65th birthday. The volume contains three survey papers
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Lecture Notes in Mathematics Editors: A. Dold, Heidelberg B. Eckmann, ZUrich F. Takens, Groningen
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S. Busenberg
M. Martelli (Eds.)
Delay Differential Equations and Dynamical Systems Proceedings of a Conference in honor of Kenneth Cooke held in Claremont, California, Jan. 13-16, 1990
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest
Editors Stavros Busenberg Department of Mathematics Harvey Mudd College Claremont, CA 91711, USA Mario Martelli Department of Mathematics California State University Fullerton, CA 92634, USA
Mathematics Subject Classification (1985): 34C, D, E, G, K; 35B, K; 39All
ISBN 3-540-54120-9 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-54120-9 Springer-Verlag New York Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its current version, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1991 Printed in Germany Printing and binding: Druckhaus Beltz, Hernsbach/Bergstr, 2146/3140-543210 - Printed on acid-free paper
Preface
The area of differential equations has played a central role in the development of mathematics and its applications for nearly four centuries, yet it still displays an unabated vitality. The field involves vigorous cross-disciplinary interactions, and research papers appear in a variety of mathematics and science journals. Such breadth and fertility create difficulties for those who wish to keep abreast of recent developments. Consequently, it is beneficial to have occasions which bring together experts in this field in a forum that encourages the exchange of ideas and leads to timely publication of new results. Such an occasion occurred during January 13 to 16, 1990 when some two hundred research workers participated in the International Conference on Differential Equations and Applications to Biology and Population Dynamics which was held in Claremont. The occasion was particularly noteworthy because it provided a venue for the celebration of the 65th birthday of Kenneth Cooke, a seminal worker who has made numerous pioneering contributions in delay differential equations and population dynamics. This volume contains a selection of papers on delay differential equations and dynamical systems which were presented at the conference and accepted after peer review. A companion volume in the Biomathematics Lecture Notes series of Springer contains papers devoted to applications in biology and population dynamics. The areas of these volumes have close and fruitful interactions, and Kenneth Cooke has been one of the most art
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