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Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations

  • Book
  • © 1993

Overview

Authors:
  1. I. T. Kiguradze

    1. Institute of Applied Mathematics, Tbilisi, Georgia

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    You can also search for this author in PubMed   Google Scholar

  2. T. A. Chanturia
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    You can also search for this author in PubMed   Google Scholar

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
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  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
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Keywords

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

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