Skip to main content

On the global stability of an autonomous system on the plane

Part of the Lecture Notes in Mathematics book series (LNM,volume 977)

Abstract

In this chapter we consider an old problem of Olech (which is equivalent to a global univalent problem in R2) on the global stability of an autonomous system on the plane and extend a result of Olech using some of the recent global univalent theorems (see [52]). We present also a variety of examples to show the sharpness of the results. In the second half of this chapter we present the results obtained by Vidossich [71] in this direction.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1983 Springer-Verlag

About this chapter

Cite this chapter

Parthasarathy, T. (1983). On the global stability of an autonomous system on the plane. In: On Global Univalence Theorems. Lecture Notes in Mathematics, vol 977. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065573

Download citation

  • DOI: https://doi.org/10.1007/BFb0065573

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11988-3

  • Online ISBN: 978-3-540-39462-4

  • eBook Packages: Springer Book Archive