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Ravi P. Agarwal
Donal O’Regan
Ordinary and Partial Differential
Equations
With Special Functions, Fourier Series,
and Boundary Value Problems
123
Ravi P. Agarwal Donal O’Regan
Florida Institute of Technology National University of Ireland, Galway
Department of Mathematical Sciences Mathematics Department
150 West University Blvd. University Road
Melbourne, FL 32901 Galway, Ireland
agarwal@ donal.******@
ISBN: 978-0-387-79145-6 e-ISBN: 978-0-387-79146-3
DOI -0-387-79146-3
Library of Congress Control Number: 2008938952
Mathematics Subject Classification (2000): 00-01, 34-XX, 35-XX
c Springer Science+Business Media, LLC 2009
All rights reserved. This work may not be translated or copied in whole or in part without the written
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Printed on acid-free paper
Dedicated to our Sons
Hans Agarwal and Daniel Joseph O’Regan
Preface
This prises 50 class-tested lectures which both the authors
have given to engineering and mathematics major students under the titles
Boundary Value Problems and Methods of Mathematical Physics at various
institutions all over the globe over a period of almost 35 years. The main
topics covered in these lectures are power series solutions, special func-
tions, boundary value problems for ordinary differential equations, S