Ordinary and Partial Differential Equations Proceedings of the Eight

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1151

Ordinary and Partial Differential Equations Proceedings of the Eighth Conference held at Dundee, Scotland, June 25-29, 1984

Edited by B. D. Sleeman and R.J. Jarvis

Springer-Verlag Berlin Heidelberg New York Tokyo

Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann

1151

Ordinary and Partial Differential Equations Proceedings of the Eighth Conference held at Dundee, Scotland, June 25-29, 1984

Edited by B. D. Sleeman and R.J. Jarvis

Springer-Verlag Berlin Heidelberg New York Tokyo

Editors

Brian D. Sleeman Richard J. Jarvis Department of Mathematical Sciences, University of Dundee Dundee DD1 4HN, Scotland

Mathematics Subject Classification (1980): 34-06, 35-06, 78-06,92-06 ISBN 3-540-15694-1 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-15694-1 Springer-Verlag New York Heidelberg Berlin Tokyo

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 § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich.

© by Springer-Verlag Berlin Heidelberg 1985 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210

PRE F ACE These Proceedings form a record of the lectures delivered at the eighth Conference on Ordinary and Partial Differential Equations which was held at the University of Dundee, Scotland during the week Monday 25 to Friday 29 June 1984. The theme of the Conference was the theory of non-linear differential equations and their relevance to the understanding of biological phenomena and non-linear wave propagation. The Conference was attended by more than 120 mathematicians from Europe, North America, People's Republic of China, Egypt, Iraq, Poland, South Africa and Sudan. The Conference was organised by R.J. Jarvis and B.D. Sleeman who thank all mathematicians who took part in the work of the Conference. The Organisers thank the University of Dundee for generously supporting the Conference; the Warden and Staff of West Park Hall for their help in providing accommodation for the Participants; Colleagues for their assistance during the week of the Conference, and the Bursar of Residences and the Finance Officer of the University of Dundee. It is a pleasure to record special appreciation of grants from the Science and Engineering Research Council and the European Research Office of the United States Army.

These grants made available travel funds for the Plenary Speakers and also

helped to provide secretarial services for the Conference. Special thanks are due to Miss Lilian Simpson and Mrs Dorothy Hargreaves, Secretaries in the Department of Mathematical Sciences of the University of Dundee for their invaluable contribution to the work and organisation of the Conference.

R.J. Jarvis

B.D. Sleeman November 1984

CONTENTS