Functional Differential Equations and Approximation of Fixed Points

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730 Functional Differential Equations and Approximation of Fixed Points Proceedings, Bonn, July 1978

Edited by Heinz-Otto Peitgen and Hans-Otto Walther

Springer-Verlag Berlin Heidelberg New York 1979

Editors Heinz-Otto Peitgen Fachbereich Mathematik Universit~t Bremen D-2800 Bremen 33 / FRG Hans-Otto Walther Mathematisches Institut Universit~it MLinchen D-8000 MLinchen 2 / FRG

AMS Subject Classifications (1970): 34JXX, 34 KXX, 65 D15, 65L15 ISBN 3-540-09518-7 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-09518-7 Springer-Verlag New York Heidelberg Berlin Library of Congress Cataloging m Publication Data Summerschool and Conference on Functional Differential Equations and Approximation of Fixed Points, University of Bonn. 1978. Functional differential equations and approxtmation of fixed points. (Lecture notes in mathematics ; 730) Bibhograhy: p. Includes index. 1. Functional differential equations--Congresses. 2. Fixed point thc'ory--Congr(.'sses. 3. Approximation theory--Congresses. I. Peitgen, Heinz-Otto, 1945I1. Walther, Hans-Otto: Ill. Title. IV. Series: Lecture notes in mathematics (Berlin) ; 730. QA3.L28 no. 730 [QA372] 510'.8s [515'.35] ISBN 0-387-09518-7 79-16224 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under 69 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher ((.t by Springer-Verlag Berlin Heidelberg 1979 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2141/3140-543210

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/I PREFACE

This volume comprises the proceedings of the Summerschool and Conference on Functional Differential Equations and Approximation of Fixed Points held at the University of Bonn, July 17 - 22, 1978. The conference was sponsored by

Sonderforschungsbereich

72, Deutsche Forschungsgemeinsahaft,

at the Institut

f~r Angewandte Mathematik der Universit~t Bonn. Morning sessions were occupied by comprehensive survey talks given by

J. C. Alexander

University of Maryland

B. C. Eaves

Stanford University

J. K. Hate

Brown University

J. Mallet-Paret R. D. Nussbaum R. Saigal

Brown University Rutgers University Northwestern University

In the afternoon there were seminar meetings and invited addresses about recent progress in the two fields. Seminars covering informal discussions and research announcements were conducted by and

E. Allgower,

B. C. Eaves, J. K. Hale,

R. D. Nussbaum. The motivation to bring together the two topics in one conference was twofold:

First, our group (N. Angelstorf, K. Georg, H. Peters, M. Prfifer, H. W. Siegberg and myself) had made some progress and was interested (cf. publications in these

VI

proceedings