Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control
This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence. Particular atten
- PDF / 6,736,923 Bytes
- 515 Pages / 439.42 x 683.15 pts Page_size
- 117 Downloads / 199 Views
Russell Johnson Rafael Obaya Sylvia Novo Carmen Núñez Roberta Fabbri
Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control
Developments in Mathematics VOLUME 36 Series editors Krishnaswami Alladi, University of Florida, Gainesville, FL, USA Hershel M. Farkas, Hebrew University of Jerusalem, Jerusalem, Israel
More information about this series at http://www.springer.com/series/5834
Russell Johnson • Rafael Obaya • Sylvia Novo • Carmen NúQnez • Roberta Fabbri
Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control
123
Russell Johnson UniversitJa degli Studi di Firenze Firenze, Italy
Rafael Obaya Universidad de Valladolid Valladolid, Spain
Sylvia Novo Universidad de Valladolid Valladolid, Spain
Carmen NúQnez Universidad de Valladolid Valladolid, Spain
Roberta Fabbri UniversitJa degli Studi di Firenze Firenze, Italy
ISSN 1389-2177 Developments in Mathematics ISBN 978-3-319-29023-2 DOI 10.1007/978-3-319-29025-6
ISSN 2197-795X (electronic) ISBN 978-3-319-29025-6 (eBook)
Library of Congress Control Number: 2016935697 Mathematics Subject Classification: 37B55, 34C10, 54H20, 34D08, 34D09, 34H05, 49N05, 37D25, 53D12, 37C55 © Springer International Publishing Switzerland 2016 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 This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland
Preface
This book is devoted to a study of the oscillation theory of nonautonomous linear Hamiltonian differential systems and that of a spectral theory which is adapted to such systems. Systematic use will be made of basic facts concerning Lagrange subspaces of R2n and argument functions on the set of symplectic matrices. We will also consistently apply some fundamental methods of topological dynamics and of ergodic theory, including Lyapunov exponents, exponential dichotomies, and rotation numbers. Further, we will show that our results
Data Loading...
