Stability Theory by Liapunov’s Direct Method

  • N. Rouche
  • P. Habets
  • M. Laloy

Part of the Applied Mathematical Sciences book series (AMS, volume 22)

Table of contents

  1. Front Matter
    Pages i-xii
  2. N. Rouche, P. Habets, M. Laloy
    Pages 1-48
  3. N. Rouche, P. Habets, M. Laloy
    Pages 49-96
  4. N. Rouche, P. Habets, M. Laloy
    Pages 97-127
  5. N. Rouche, P. Habets, M. Laloy
    Pages 128-167
  6. N. Rouche, P. Habets, M. Laloy
    Pages 168-200
  7. N. Rouche, P. Habets, M. Laloy
    Pages 201-240
  8. N. Rouche, P. Habets, M. Laloy
    Pages 241-269
  9. N. Rouche, P. Habets, M. Laloy
    Pages 270-312
  10. N. Rouche, P. Habets, M. Laloy
    Pages 313-344
  11. Back Matter
    Pages 345-396

About this book

Introduction

This monograph is a collective work. The names appear­ ing on the front cover are those of the people who worked on every chapter. But the contributions of others were also very important: C. Risito for Chapters I, II and IV, K. Peiffer for III, IV, VI, IX R. J. Ballieu for I and IX, Dang Chau Phien for VI and IX, J. L. Corne for VII and VIII. The idea of writing this book originated in a seminar held at the University of Louvain during the academic year 1971-72. Two years later, a first draft was completed. However, it was unsatisfactory mainly because it was ex­ ce~sively abstract and lacked examples. It was then decided to write it again, taking advantage of -some remarks of the students to whom it had been partly addressed. The actual text is this second version. The subject matter is stability theory in the general setting of ordinary differential equations using what is known as Liapunov's direct or second method. We concentrate our efforts on this method, not because we underrate those which appear more powerful in some circumstances, but because it is important enough, along with its modern developments, to justify the writing of an up-to-date monograph. Also excellent books exist concerning the other methods, as for example R. Bellman [1953] and W. A. Coppel [1965].

Keywords

Derivative Ljapunowsche Stabilität Stability differential equation ordinary differential equation

Authors and affiliations

  • N. Rouche
    • 1
  • P. Habets
    • 1
  • M. Laloy
    • 1
  1. 1.Institut de Mathématique Pure et AppliquéeU.C.L.Louvain-la-NeuveBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-9362-7
  • Copyright Information Springer-Verlag New York 1977
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-90258-6
  • Online ISBN 978-1-4684-9362-7
  • Series Print ISSN 0066-5452
  • About this book
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