Mathematics and its Applications

Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations

Authors: Kiguradze, Ivan, Chanturia, T.A.

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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.

Table of contents (5 chapters)

  • Linear Differential Equations

    Kiguradze, I. T. (et al.)

    Pages 1-143

  • Quasilinear Differential Equations

    Kiguradze, I. T. (et al.)

    Pages 145-178

  • General Nonlinear Differential Equations

    Kiguradze, I. T. (et al.)

    Pages 179-234

  • Higher Order Differential Equations of Emden-Fowler Type

    Kiguradze, I. T. (et al.)

    Pages 235-248

  • Second Order Differential Equations of Emden-Fowler Type

    Kiguradze, I. T. (et al.)

    Pages 249-305

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-94-011-1808-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-0-7923-2059-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-94-010-4797-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations
Authors
Series Title
Mathematics and its Applications
Series Volume
89
Copyright
1993
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-011-1808-8
DOI
10.1007/978-94-011-1808-8
Hardcover ISBN
978-0-7923-2059-3
Softcover ISBN
978-94-010-4797-5
Series ISSN
0169-6378
Edition Number
1
Number of Pages
XIV, 331
Topics