On Global Univalence Theorems pp 59-67

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

On the global stability of an autonomous system on the plane

  • T. Parthasarathy
Chapter

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.

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Copyright information

© Springer-Verlag 1983

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  • T. Parthasarathy

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