A Course on Integral Equations
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas sical techniques of applied mathe
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Editors F. John J .E. Marsden L. Sirovich M. Golubitsky W. Jager
Texts in Applied Mathematics
1. Sirovich: Introduction to Applied Mathematics. 2. Wiggins: Introduction to Applied Nonlinear Dynamical Systems and Chaos. 3. Hale/Ko~ak: Dynamics and Bifurcations. 4. Chorin/Marsden: A Mathematical Introduction to Fluid Mechanics, 2nd ed. 5. Hubbard/West: Differential Equations: A Dynamical Systems Approach, Part 1: Ordinary Differential Equations. 6. Sontag: Mathematical Control Theory: Deterministic Finite Dimensional Systems. 7. Perko: Differential Equations and Dynamical Systems. 8. Seaborn: Hypergeometric Functions and Their Applications. 9. Pipkin: A Course on Integral Equations. 10. Hoppensteadt/Peskin: Mathematics in Medicine and the Life Sciences.
Allen C. Pipkin
A Course on Integral Equations
Springer Science+Business Media, LLC
Allen C. Pipkin Center ofFluid Mechanies, Turbulence and Computation Brown University Providence, Rhode Island 02912 USA
Editors F.John Courant Institute of Mathematical Sciences New York University New York, NY 10012 USA
J.E. Marsden Department of Mathematics University ofCalifornia Berkeley, CA 94720 USA
M. Golubitsky Department of Mathematics University ofHouston Houston, TX 77004 USA
W.Jäger Department of Applied Mathematics Universität Heidelberg Im Neuenheimer Feld 294 6900 Heidelberg, FRG
L. Sirovich Division of Applied Mathematics Brown University Providence, RI02912 USA
Mathematics Subject Classification: 45-01, 45B05, 45E05, 45ElO •With 8 illustrations
Library of Congress CataIoging-in-Publication Data Pipkin, A. C. A course on integral equations / by Allen C. Pipkin. p. cm. Includes bibliographical references and index. I. Integral equations I. Title. QA431.P568 1991 515'.45-dc20 91-27827 CIP Printed on acid-free paper © 1991 Springer Science+Business Media New York Originally published by Springer-Verlag New York, Inc. in 1991 Softcover reprint of the hardcover 1st edition 1991 All rights reserved. This work may not be translated or copied in whole or in part without the written permission ofthe publisher Springer Science+Business Media, LLC, except for brief excerpts in connection with reviews or scholacly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden . The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone.
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9 8 765 4 3 2 1 ISBN 978-1-4612-8773-5 ISBN 978-1-4612-4446-2 (eBook) DOI 10.1007/978-1-4612-4446-2
Series Preface Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as we
