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  • © 1993

Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations

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

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xiv
  2. Linear Differential Equations

    • I. T. Kiguradze, T. A. Chanturia
    Pages 1-143
  3. Quasilinear Differential Equations

    • I. T. Kiguradze, T. A. Chanturia
    Pages 145-178
  4. General Nonlinear Differential Equations

    • I. T. Kiguradze, T. A. Chanturia
    Pages 179-234
  5. Higher Order Differential Equations of Emden-Fowler Type

    • I. T. Kiguradze, T. A. Chanturia
    Pages 235-248
  6. Second Order Differential Equations of Emden-Fowler Type

    • I. T. Kiguradze, T. A. Chanturia
    Pages 249-305
  7. Back Matter

    Pages 307-331

About this book

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.

Authors and Affiliations

  • Institute of Applied Mathematics, Tbilisi, Georgia

    I. T. Kiguradze

Bibliographic Information

  • Book Title: Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations

  • Authors: I. T. Kiguradze, T. A. Chanturia

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-011-1808-8

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1993

  • Hardcover ISBN: 978-0-7923-2059-3Published: 30 November 1992

  • Softcover ISBN: 978-94-010-4797-5Published: 25 September 2012

  • eBook ISBN: 978-94-011-1808-8Published: 06 December 2012

  • Series ISSN: 0169-6378

  • Edition Number: 1

  • Number of Pages: XIV, 331

  • Topics: Ordinary Differential Equations

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access