Advertisement

Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations

  • I. T. Kiguradze
  • T. A. Chanturia

Part of the Mathematics and Its Applications book series (MASS, volume 89)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. I. T. Kiguradze, T. A. Chanturia
    Pages 1-143
  3. I. T. Kiguradze, T. A. Chanturia
    Pages 145-178
  4. I. T. Kiguradze, T. A. Chanturia
    Pages 179-234
  5. I. T. Kiguradze, T. A. Chanturia
    Pages 235-248
  6. I. T. Kiguradze, T. A. Chanturia
    Pages 249-305
  7. Back Matter
    Pages 307-331

About this book

Introduction

This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properties of solutions of nonautonomous ordinary differential equations. The conditions of oscillation of solutions are established, and some general theorems on the classification of equations according to their oscillatory properties are proved. In addition, the conditions are found under which nonlinear equations do not have singular, proper, oscillatory and monotone solutions.
The book has five chapters: Chapter I deals with linear differential equations; Chapter II with quasilinear equations; Chapter III with general nonlinear differential equations; and Chapter IV and V deal, respectively, with higher-order and second-order differential equations of the Emden-Fowler type.
Each section contains problems, including some which presently remain unsolved. The volume concludes with an extensive list of references.
For researchers and graduate students interested in the qualitative theory of differential equations.

Keywords

DEX Volume addition boundary element method classification development differential equation eXist equation form online ordinary differential equation review theorem

Authors and affiliations

  • I. T. Kiguradze
    • 1
  • T. A. Chanturia
  1. 1.Institute of Applied MathematicsTbilisiGeorgia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-011-1808-8
  • Copyright Information Springer Science+Business Media Dordrecht 1993
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-4797-5
  • Online ISBN 978-94-011-1808-8
  • Series Print ISSN 0169-6378
  • Buy this book on publisher's site
Industry Sectors
Finance, Business & Banking