Asymptotic Integration of Differential and Difference Equations
This book presents the theory of asymptotic integration for both linear differential and difference equations. This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. While he applied them to a special class of differe
- PDF / 3,702,471 Bytes
- 411 Pages / 439.42 x 666.14 pts Page_size
- 41 Downloads / 295 Views
Sigrun Bodine Donald A. Lutz
Asymptotic Integration of Differential and Difference Equations
Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis, Zurich Mario di Bernardo, Bristol Alessio Figalli, Austin Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gabor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, Paris and NY Catharina Stroppel, Bonn Anna Wienhard, Heidelberg
2129
More information about this series at http://www.springer.com/series/304
Sigrun Bodine • Donald A. Lutz
Asymptotic Integration of Differential and Difference Equations
123
Sigrun Bodine Dept. of Mathematics and Computer Science University of Puget Sound Tacoma, WA, USA
ISSN 0075-8434 Lecture Notes in Mathematics ISBN 978-3-319-18247-6 DOI 10.1007/978-3-319-18248-3
Donald A. Lutz Department of Mathematics and Statistics San Diego State University San Diego, CA, USA
ISSN 1617-9692
(electronic)
ISBN 978-3-319-18248-3
(eBook)
Library of Congress Control Number: 2015940541 Mathematics Subject Classification (2010): 34E10, 34A30, 39A06, 34N05, 34C41, 39A22 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
Dedicated to Roy and Margaret
Preface
This book is concerned with the asymptotic behavior for solutions of certain classes of linear differential equations as well as corresponding results for solutions of linear difference equations. The type of asymptotic analysis we employ is based on some fundamental principles attributed to Levinson [100]. While he applied them to a special class of differential equations, subsequent work has shown that the same principles lead to asymptotic results for much wider classes of differential and also difference equations. For dif
Data Loading...
