Theory of Third-Order Differential Equations
This book discusses the theory of third-order differential equations. Most of the results are derived from the results obtained for third-order linear homogeneous differential equations with constant coefficients. M. Gregus, in his book written in 1987, o
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Theory of Third-Order Differential Equations
Theory of Third-Order Differential Equations
Seshadev Padhi r Smita Pati
Theory of Third-Order Differential Equations
Seshadev Padhi Department of Applied Mathematics Birla Institute of Technology, Mesra Ranchi, Jharkhand, India
Smita Pati Department of Applied Mathematics Birla Institute of Technology, Mesra Ranchi, Jharkhand, India
ISBN 978-81-322-1613-1 ISBN 978-81-322-1614-8 (eBook) DOI 10.1007/978-81-322-1614-8 Springer New Delhi Heidelberg New York Dordrecht London Library of Congress Control Number: 2013951151 © Springer India 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Dedicated to Suchitra and Aryadev
Preface
Over the last four decades, intensive work has been carried out in the field of theory of nonautonomous third-order ordinary and delay differential equations. However, it is only recently that the global attractivity of third-order equations has been given a serious study. During these years, new investigations were developed and results of principal importance were obtained. In particular, suitable oscillation criteria for third-order linear and nonlinear differential equations were established, with emphasis on the oscillation of third-order nonhomogeneous differential equations with
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