E-Book Overview
This book deals mainly with modelling systems that change with time. The evolution equations that it describes can be found in a number of application areas, such as kinetics, fragmentation theory and mathematical biology. This will be the first self-contained account of the area.
E-Book Content
Springer Monographs in Mathematics
Jacek Banasiak
Luisa Arlotti
Perturbations of Positive Semigroups with Applications
Jacek Banasiak, PHD, DSc School of Mathematical Sciences University of KwaZulu-Natal Durban 4041 South Africa
Luisa Arlotti Department of Civil Engineering University of Udine Via delle scienze 208 33100 Udine Italy
Mathematics Subject Classification (2000): 46-02, 47-02, 47D06, 46B42, 34G10, 47G20, 45K05, 46G10, 46N20, 46N30, 46N55, 46N60, 47N20, 47N30, 47N55, 47N60, 60J80, 82C40, 82D05, 82D37, 92D25, 47A55, 35B25 British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Library of Congress Control Number: 2005929859 Springer Monographs in Mathematics ISSN 1439-7382 ISBN-10: 1-85233-993-4 e-ISBN 1-84628-153-9 ISBN-13: 978-1-85233-993-
Printed on acid-free paper
© Springer-Verlag London Limited 2006 Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms of licences issued by the Copyright Licensing Agency. Enquiries concerning reproduction outside those terms should be sent to the publishers. The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of a specifi